conversations listlengths 2 2 |
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[
{
"role": "user",
"content": "what is the internal temperature of well done beef?"
},
{
"role": "assistant",
"content": "The USDA recommends steaks and roasts be cooked to 145°F (medium) and then rested for at least 3 minutes. To ensure food safety, ground beef should be cooked to a minimum 160°... |
[
{
"role": "user",
"content": "what is the internal temperature of well done roast beef?"
},
{
"role": "assistant",
"content": "The USDA recommends steaks and roasts be cooked to 145°F (medium) and then rested for at least 3 minutes. To ensure food safety, ground beef should be cooked to a minimu... |
[
{
"role": "user",
"content": "what is the internal temperature range for meat?"
},
{
"role": "assistant",
"content": "160"
}
] |
[
{
"role": "user",
"content": "what is the international civil aviation organisation?"
},
{
"role": "assistant",
"content": "The International Civil Aviation Organization (ICAO) is a UN specialized agency, established by States in 1944 to manage the administration and governance of the Convention... |
[
{
"role": "user",
"content": "what is the international criminal police organization?"
},
{
"role": "assistant",
"content": "INTERPOL is the world's largest international police organization operating world-wide with 186 member countries. Its headquarters, the General Secretariat, are located in... |
[
{
"role": "user",
"content": "what is the international declaration of human rights?"
},
{
"role": "assistant",
"content": "The Universal Declaration of Human Rights is a historic document which outlined the rights and freedoms everyone is entitled to. It was the first international agreement on... |
[
{
"role": "user",
"content": "what is the international emergency number?"
},
{
"role": "assistant",
"content": "112 is a common emergency telephone number that can be dialed free of charge from most mobile telephones, and in some countries, fixed telephones in order to reach emergency services ... |
[
{
"role": "user",
"content": "what is the international emergency signal?"
},
{
"role": "assistant",
"content": "The international emergency sign for distress is three repetitions of any signal, including three blasts on a whistle. Pause between repetitions to listen. If you're near an open spac... |
[
{
"role": "user",
"content": "what is the international emergency signal for distress?"
},
{
"role": "assistant",
"content": "Use the international emergency sign for distress, three of any signal: Three fires evenly spaced. Three blasts on a whistle. Three flashes with a mirror."
}
] |
[
{
"role": "user",
"content": "what is the international emergency signal for distress hunter ed?"
},
{
"role": "assistant",
"content": "The international emergency sign for distress is three of any signal: three shots, three blasts on a whistle, three flashes with a mirror, or three fires evenly... |
[
{
"role": "user",
"content": "what is the international emergency signal for distress quizlet?"
},
{
"role": "assistant",
"content": "What is the international emergency signal for distress? Three shots,three blasts of a whistle,three flashes of a mirror,three fires evenly spaced. What are 2 of ... |
[
{
"role": "user",
"content": "what is the international labour organisation (ilo)?"
},
{
"role": "assistant",
"content": "The International Labour Organization (ILO) is devoted to promoting social justice and internationally recognized human and labour rights, pursuing its founding mission that ... |
[
{
"role": "user",
"content": "what is the international labour organization (ilo)?"
},
{
"role": "assistant",
"content": "The International Labour Organization (ILO) is devoted to promoting social justice and internationally recognized human and labour rights, pursuing its founding mission that ... |
[
{
"role": "user",
"content": "what is the international maritime organisation?"
},
{
"role": "assistant",
"content": "IMO – the International Maritime Organization – is the United Nations specialized agency with responsibility for the safety and security of shipping and the prevention of marine ... |
[
{
"role": "user",
"content": "what is the international organization for standardization (iso)?"
},
{
"role": "assistant",
"content": "The International Organization for Standardization or ISO is an international nongovernmental organization made up of national standards bodies; it develops and ... |
[
{
"role": "user",
"content": "what is the international organization in business?"
},
{
"role": "assistant",
"content": "Founded in 1919, the official motto of the International Chamber of Commerce (ICC) is “The World Business Organization.” It is the largest association of companies in the worl... |
[
{
"role": "user",
"content": "what is the international organization of standards?"
},
{
"role": "assistant",
"content": "The International Organization for Standardization (ISO; /ˈaɪsoʊ/) is an international standard-setting body composed of representatives from various national standards organ... |
[
{
"role": "user",
"content": "what is the international organizations in nigeria?"
},
{
"role": "assistant",
"content": "Nigeria belongs to many international organizations like the United Nations (UN), Commonwealth of Nations, Organization of African Unity (OAU) later changed to African Union (... |
[
{
"role": "user",
"content": "what is the international trade council?"
},
{
"role": "assistant",
"content": "The International Trade Council is a 64-year-old peak body Chamber of Commerce representing government export agencies, chambers of commerce and industry associations and businesses from... |
[
{
"role": "user",
"content": "what is the international trade currency?"
},
{
"role": "assistant",
"content": "Why the US Dollar Is the Global Currency. ... A global currency is one that is accepted for trade throughout the world. Some of the world's currencies are accepted for most internationa... |
[
{
"role": "user",
"content": "what is the international trade deficit?"
},
{
"role": "assistant",
"content": "A trade deficit occurs when a country's imports exceed its exports during a given time period. It is also referred to as a negative balance of trade (BOT). ... Balances are also calculat... |
[
{
"role": "user",
"content": "what is the international trade documentation?"
},
{
"role": "assistant",
"content": "The ATA carnet serves as an international passport for cargo that is imported for a specific time-frame for purposes such as trade shows, exhibitions, competitions, photo shoots, r... |
[
{
"role": "user",
"content": "what is the international trade effect?"
},
{
"role": "assistant",
"content": "International trade affects the prices of consumer goods that are produced and sold in the domestic market, which leads to changes in the wages received by individuals. ... The welfare be... |
[
{
"role": "user",
"content": "what is the international trade language?"
},
{
"role": "assistant",
"content": "Like it or not, English is the global language of business. Today 1.75 billion people speak English at a useful level—that's one in four of us. ... English-only policies can create job ... |
[
{
"role": "user",
"content": "what is the international trade meaning?"
},
{
"role": "assistant",
"content": "International trade is the exchange of goods and services between countries. Trading globally gives consumers and countries the opportunity to be exposed to goods and services not availa... |
[
{
"role": "user",
"content": "what is the international trade model?"
},
{
"role": "assistant",
"content": "This application demonstrates how international trade occures in a simple case between two countries and in one product market. The difference between the domestic prices plays a role in d... |
[
{
"role": "user",
"content": "what is the international trade pattern?"
},
{
"role": "assistant",
"content": "Trade is the exchange of goods and services between countries. Usually developed countries export valuable manufactured goods such as electronics and cars and import cheaper primary prod... |
[
{
"role": "user",
"content": "what is the international trade policy?"
},
{
"role": "assistant",
"content": "International trade allows countries to expand their markets and access goods and services that otherwise may not have been available domestically. As a result of international trade, the... |
[
{
"role": "user",
"content": "what is the international trade process?"
},
{
"role": "assistant",
"content": "International trade is the exchange of capital, goods, and services across international borders or territories because there is a need or want of goods or services. ... Carrying out tra... |
[
{
"role": "user",
"content": "what is the international trade system?"
},
{
"role": "assistant",
"content": "Key Takeaways. International trade is the exchange of goods and services between countries. Trading globally gives consumers and countries the opportunity to be exposed to goods and servi... |
[
{
"role": "user",
"content": "what is the interpersonal communication essay?"
},
{
"role": "assistant",
"content": "IPC (interpersonal communication) is the way we express our thoughts, feelings, and ideas to the people around us. ... Interpersonal communication is something you need to do well ... |
[
{
"role": "user",
"content": "what is the interpersonal communication meaning?"
},
{
"role": "assistant",
"content": "Interpersonal communication is the process by which people exchange information, feelings, and meaning through verbal and non-verbal messages: it is face-to-face communication."
... |
[
{
"role": "user",
"content": "what is the interpersonal communication model?"
},
{
"role": "assistant",
"content": "Interpersonal communication is the process of exchange of information, ideas and feelings between two or more people through verbal or non-verbal methods. It often includes face-to... |
[
{
"role": "user",
"content": "what is the interrelationship between temperature pressure & humidity of the air?"
},
{
"role": "assistant",
"content": "Answer. Air temperature increases because the air contains more energy, increasing collisions and separatingair molecules. This decreases the air... |
[
{
"role": "user",
"content": "what is the intro to avatar the last airbender?"
},
{
"role": "assistant",
"content": "Long ago, the four nations lived together in harmony. Then, everything changed when the Fire Nation attacked. Only the Avatar, master of all four elements, could stop them, but wh... |
[
{
"role": "user",
"content": "what is the inverse function f(x)=1/4x-12?"
},
{
"role": "assistant",
"content": "Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=4x+48 f - 1 ( x ) = 4 x + 48 is the inverse of f(x)=14x−12 f ( x ) = 1 4 x - 12 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse function f(x)=1/9x+2?"
},
{
"role": "assistant",
"content": "Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=9x−18 f - 1 ( x ) = 9 x - 18 is the inverse of f(x)=19x+2 f ( x ) = 1 9 x + 2 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of d(x)=-2x-6?"
},
{
"role": "assistant",
"content": "Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x2+3 f - 1 ( x ) = x 2 + 3 is the inverse of f(x)=2x−6 f ( x ) = 2 x - 6 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of e^x?"
},
{
"role": "assistant",
"content": "The exponential function is its own slope function: the slope of e-to-the-x is e-to-the-x. The inverse of ex is ln x, which is loge x, the natural logarithm of x."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of f(x)=1/4x-12?"
},
{
"role": "assistant",
"content": "Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=4x+48 f - 1 ( x ) = 4 x + 48 is the inverse of f(x)=14x−12 f ( x ) = 1 4 x - 12 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of f(x)=1/9x+2?"
},
{
"role": "assistant",
"content": "Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=9x−18 f - 1 ( x ) = 9 x - 18 is the inverse of f(x)=19x+2 f ( x ) = 1 9 x + 2 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of f(x)=2x-10?"
},
{
"role": "assistant",
"content": "Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=−x2+5 f - 1 ( x ) = - x 2 + 5 is the inverse of f(x)=−2x+10 f ( x ) = - 2 x + 10 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of f(x)=2x^3+1?"
},
{
"role": "assistant",
"content": "Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3√4(−x+1)2 f - 1 ( x ) = 4 ( - x + 1 ) 3 2 is the inverse of f(x)=−2x3+1 f ( x ) = - 2 x 3 + 1 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of f(x)=3^-x+3?"
},
{
"role": "assistant",
"content": "Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3(x+1)1−x f - 1 ( x ) = 3 ( x + 1 ) 1 - x is the inverse of f(x)=x−3x+3 f ( x ) = x - 3 x + 3 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of f(x)=3^x?"
},
{
"role": "assistant",
"content": "Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=ln(x)ln(3) f - 1 ( x ) = ln ( x ) ln ( 3 ) is the inverse of f(x)=3x f ( x ) = 3 x ."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of f(x)=4x?"
},
{
"role": "assistant",
"content": "One way to work out an inverse function is to reverse the operations that f carries out on a number. Here is a simple example. We shall set f(x)=4x, so that f takes a number x and multip... |
[
{
"role": "user",
"content": "what is the inverse function of f(x)=4x+8?"
},
{
"role": "assistant",
"content": "Subtract 2 2 from 2 2 . Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x4−2 f - 1 ( x ) = x 4 - 2 is the inverse of f(x)=4x+8 f ( x ) = 4 x + 8 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of f(x)=e^x?"
},
{
"role": "assistant",
"content": "The inverse function for function f(x) = e^x is f^-1 (x) = ln x. The inverse function, f^-1(x), is the function that tells us to what power we have to raise the number e in order to get... |
[
{
"role": "user",
"content": "what is the inverse function of f(x)=x^2?"
},
{
"role": "assistant",
"content": "For f(x)=x2 , we ghave f(−1)=f(1) (for example), so there is no inverse function."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of f^-1(x)?"
},
{
"role": "assistant",
"content": "The inverse of a function will tell you what x had to be to get that value of y. The domain of f is the range of f -1 and the range of f is the domain of f -1."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of g(x)=x^3-2?"
},
{
"role": "assistant",
"content": "Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3√x+2 f - 1 ( x ) = x + 2 3 is the inverse of f(x)=x3−2 f ( x ) = x 3 - 2 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of log(x)?"
},
{
"role": "assistant",
"content": "Some functions in math have a known inverse function. The log function is one of these functions. We know that the inverse of a log function is an exponential. So, we know that the invers... |
[
{
"role": "user",
"content": "what is the inverse function of x^2?"
},
{
"role": "assistant",
"content": "For f(x)=x2 , we ghave f(−1)=f(1) (for example), so there is no inverse function."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of x^2-7?"
},
{
"role": "assistant",
"content": "Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=√x+7,−√x+7 f - 1 ( x ) = x + 7 , - x + 7 is the inverse of f(x)=x2−7 f ( x ) = x 2 - 7 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of x^2-9?"
},
{
"role": "assistant",
"content": "y−9=x2 - next you have to take square root of both sides: x=√y−9 - now we can write the inverse function returning to the conventional variable naming x as the independent variable and y a... |
[
{
"role": "user",
"content": "what is the inverse function of x^3?"
},
{
"role": "assistant",
"content": "Pull terms out from under the radical, assuming positive real numbers. Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3√x f - 1 ( x ) = x 3 is the inverse of f(x)=x3 f ( x ) = x 3 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of x^3-4?"
},
{
"role": "assistant",
"content": "Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3√−x+4 f - 1 ( x ) = - x + 4 3 is the inverse of f(x)=−x3+4 f ( x ) = - x 3 + 4 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of x^3-6?"
},
{
"role": "assistant",
"content": "Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3√x−6 f - 1 ( x ) = x - 6 3 is the inverse of f(x)=x3+6 f ( x ) = x 3 + 6 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of x^3-8?"
},
{
"role": "assistant",
"content": "Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3√x−8 f - 1 ( x ) = x - 8 3 is the inverse of f(x)=x3+8 f ( x ) = x 3 + 8 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of y=1/x?"
},
{
"role": "assistant",
"content": "1 Answer. Inverse function of y=1x is y=1x itself."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of y=2^x?"
},
{
"role": "assistant",
"content": "y = 2/x becomes f(x) = 2/x. let's set y equal to g(x) in the inverse equation of y = 2/x. y = 2/x becomes g(x) = 2/x."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of y=3x+2?"
},
{
"role": "assistant",
"content": "The inverse is y=13x−23 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse function of y=log3x?"
},
{
"role": "assistant",
"content": "y = f ̄¹(x) = 10ˣ/3 is the inverse of y = f(x) = log 3x. = x for all x in the domain of f ̄¹, and … = x for all x in the domain of f . Therefore, y = f(x) = log 3x and y = f ̄¹(x) = 10ˣ/... |
[
{
"role": "user",
"content": "what is the inverse function of y=x^2?"
},
{
"role": "assistant",
"content": "For f(x)=x2 , we ghave f(−1)=f(1) (for example), so there is no inverse function."
}
] |
[
{
"role": "user",
"content": "what is the inverse of 1.2?"
},
{
"role": "assistant",
"content": "The multiplicative inverse of 1/2 is 2."
}
] |
[
{
"role": "user",
"content": "what is the inverse of 1.8?"
},
{
"role": "assistant",
"content": "What number can we multiply to 8 to get 1 (the multiplicative identity) as the answer? So, the multiplicative inverse of 8 is 1/8!"
}
] |
[
{
"role": "user",
"content": "what is the inverse of a cubic polynomial?"
},
{
"role": "assistant",
"content": "For example, the simple cubic polynomial y = f(x) = x 3 + x + 2 has the following inverse: There are general, though very complicated, methods for finding the inverse formulas of cubic... |
[
{
"role": "user",
"content": "what is the inverse of a function f(x)=1/4x-12?"
},
{
"role": "assistant",
"content": "Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=4x+48 f - 1 ( x ) = 4 x + 48 is the inverse of f(x)=14x−12 f ( x ) = 1 4 x - 12 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of a function f(x)=1/9x+2?"
},
{
"role": "assistant",
"content": "Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=9x−18 f - 1 ( x ) = 9 x - 18 is the inverse of f(x)=19x+2 f ( x ) = 1 9 x + 2 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of a function f(x)=2x-10?"
},
{
"role": "assistant",
"content": "Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=−x2+5 f - 1 ( x ) = - x 2 + 5 is the inverse of f(x)=−2x+10 f ( x ) = - 2 x + 10 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of a function f(x)=4x?"
},
{
"role": "assistant",
"content": "One way to work out an inverse function is to reverse the operations that f carries out on a number. Here is a simple example. We shall set f(x)=4x, so that f takes a number x and mult... |
[
{
"role": "user",
"content": "what is the inverse of a function f(x)=4x+8?"
},
{
"role": "assistant",
"content": "Subtract 2 2 from 2 2 . Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x4−2 f - 1 ( x ) = x 4 - 2 is the inverse of f(x)=4x+8 f ( x ) = 4 x + 8 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of a function y=3x+2?"
},
{
"role": "assistant",
"content": "The inverse is y=13x−23 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of a square root?"
},
{
"role": "assistant",
"content": "Because the square function gives back the original number, it is the inverse of the square root function. However the square function is a many-to-one function. For example both 3 and −3 g... |
[
{
"role": "user",
"content": "what is the inverse of a square root called?"
},
{
"role": "assistant",
"content": "The square function is the inverse of the square root function."
}
] |
[
{
"role": "user",
"content": "what is the inverse of f(x)=x^3-2?"
},
{
"role": "assistant",
"content": "To find the inverse function of f(x) = x^3+2. x^3 = y-2. Taking cube root, x = (y-2) ^(1/3)."
}
] |
[
{
"role": "user",
"content": "what is the inverse of sin cos and tan?"
},
{
"role": "assistant",
"content": "The inverse trigonometric functions sin−1(x) , cos−1(x) , and tan−1(x) , are used to find the unknown measure of an angle of a right triangle when two side lengths are known."
}
] |
[
{
"role": "user",
"content": "what is the inverse of square root?"
},
{
"role": "assistant",
"content": "Squaring or raising to the second power the square root term should eliminate the radical. However, you must do it to both sides of the equation to keep it balanced. Make sure that you verify... |
[
{
"role": "user",
"content": "what is the inverse of taking a square root?"
},
{
"role": "assistant",
"content": "Finding the square root of a number is the inverse operation of squaring that number. Remember, the square of a number is that number times itself. The perfect squares are the square... |
[
{
"role": "user",
"content": "what is the inverse of the function below f(x)=2x+6?"
},
{
"role": "assistant",
"content": "Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x2+3 f - 1 ( x ) = x 2 + 3 is the inverse of f(x)=2x−6 f ( x ) = 2 x - 6 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of the function f(x) = 1/4x – 12?"
},
{
"role": "assistant",
"content": "Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=4x+48 f - 1 ( x ) = 4 x + 48 is the inverse of f(x)=14x−12 f ( x ) = 1 4 x - 12 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of the function f(x) = 2x – 10?"
},
{
"role": "assistant",
"content": "Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=−x2+5 f - 1 ( x ) = - x 2 + 5 is the inverse of f(x)=−2x+10 f ( x ) = - 2 x + 10 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of the function f(x)= 1/4x-12?"
},
{
"role": "assistant",
"content": "Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=4x+48 f - 1 ( x ) = 4 x + 48 is the inverse of f(x)=14x−12 f ( x ) = 1 4 x - 12 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of the function f(x)=-6x-7?"
},
{
"role": "assistant",
"content": "Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=−x6−76 f - 1 ( x ) = - x 6 - 7 6 is the inverse of f(x)=−6x−7 f ( x ) = - 6 x - 7 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of the function f(x)=1/4x-12?"
},
{
"role": "assistant",
"content": "Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=4x+48 f - 1 ( x ) = 4 x + 48 is the inverse of f(x)=14x−12 f ( x ) = 1 4 x - 12 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of the function f(x)=1/9x+2?"
},
{
"role": "assistant",
"content": "Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=9x−18 f - 1 ( x ) = 9 x - 18 is the inverse of f(x)=19x+2 f ( x ) = 1 9 x + 2 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of the function f(x)=2x-10?"
},
{
"role": "assistant",
"content": "Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=−x2+5 f - 1 ( x ) = - x 2 + 5 is the inverse of f(x)=−2x+10 f ( x ) = - 2 x + 10 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of the function f(x)=3x−1?"
},
{
"role": "assistant",
"content": "1 Answer. The inverse of f(x)=3x+1 is f(x)−1=13x−13 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of the function f(x)=8x+1?"
},
{
"role": "assistant",
"content": "Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x8+18 f - 1 ( x ) = x 8 + 1 8 is the inverse of f(x)=8x−1 f ( x ) = 8 x - 1 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of the function f(x)=e^2x?"
},
{
"role": "assistant",
"content": "The natural logarithm of e e is 1 1 . Multiply x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=ln(x)2 f - 1 ( x ) = ln ( x ) 2 is the inverse of f(x)=e2x f ( x ) = e 2 x ."... |
[
{
"role": "user",
"content": "what is the inverse of the function g(x)=-2/3x-5?"
},
{
"role": "assistant",
"content": "Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3x2+152 f - 1 ( x ) = 3 x 2 + 15 2 is the inverse of f(x)=23x−5 f ( x ) = 2 3 x - 5 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of the function g(x)=5(x-2)?"
},
{
"role": "assistant",
"content": "Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=5x+2 f - 1 ( x ) = 5 x + 2 is the inverse of f(x)=5x−2 f ( x ) = 5 x - 2 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of the function h(x)=x^5+6?"
},
{
"role": "assistant",
"content": "Since g(h(x))=x g ( h ( x ) ) = x , h−1(x)=5√x−6 h - 1 ( x ) = x - 6 5 is the inverse of h(x)=x5+6 h ( x ) = x 5 + 6 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of the function x^3?"
},
{
"role": "assistant",
"content": "Pull terms out from under the radical, assuming positive real numbers. Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3√x f - 1 ( x ) = x 3 is the inverse of f(x)=x3 f ( x ) = x 3 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of the function y = log3 x?"
},
{
"role": "assistant",
"content": "Exponentiation and log are inverse functions. Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3x f - 1 ( x ) = 3 x is the inverse of f(x)=log3(x) f ( x ) = log 3 ( x ) ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of the function y=3x-2?"
},
{
"role": "assistant",
"content": "The inverse is y=13x−23 ."
}
] |
[
{
"role": "user",
"content": "what is the inverse of the function y=log3x?"
},
{
"role": "assistant",
"content": "y = f ̄¹(x) = 10ˣ/3 is the inverse of y = f(x) = log 3x. = x for all x in the domain of f ̄¹, and … = x for all x in the domain of f . Therefore, y = f(x) = log 3x and y = f ̄¹(x) = ... |
[
{
"role": "user",
"content": "what is the inverse of the given function y=3x+12?"
},
{
"role": "assistant",
"content": "Since the function is both, one to one and on-to function, then f(x) is bijective. If f(x) is bijective => f(x) is invertible. The requested inverse function of f(x) = 3x + 12 ... |
[
{
"role": "user",
"content": "what is the inverse of the logarithmic function f(x)=log x?"
},
{
"role": "assistant",
"content": "The log function is one of these functions. We know that the inverse of a log function is an exponential. So, we know that the inverse of f(x) = log subb(x) is f^-1(y)... |
[
{
"role": "user",
"content": "what is the inverse of the logarithmic function f(x)=log2^x?"
},
{
"role": "assistant",
"content": "Exponentiation and log are inverse functions. Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x f - 1 ( x ) = 2 x is the inverse of f(x)=log2(x) f ( x ) = log 2 ( x ) ."
... |
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