diff --git a/pretraining/mathematica/algebra/invert_function/1183.txt b/pretraining/mathematica/algebra/invert_function/1183.txt new file mode 100644 index 0000000000000000000000000000000000000000..799405202caf18d2e05e638e431480004bb227c7 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/1183.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $-\tan ^{-1}(4-2 x)$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{\tan (y)}{2}+2\text{ if }-\frac{\pi }{2}0$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/1336.txt b/pretraining/mathematica/algebra/invert_function/1336.txt new file mode 100644 index 0000000000000000000000000000000000000000..f39484bb6afbe3d8393d67a91344f63b6456588b --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/1336.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\sqrt[3]{\cos ^{-1}\left(\frac{15 x}{2}+1\right)}$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{2}{15} \left(\cos \left(y^3\right)-1\right)\text{ if }0\leq y\leq \sqrt[3]{\pi }$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/136.txt b/pretraining/mathematica/algebra/invert_function/136.txt new file mode 100644 index 0000000000000000000000000000000000000000..ae933ba245d326b44e89608dc08ba072f70c20a1 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/136.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $e^{2 x-\frac{3}{2}}$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{1}{2} \log \left(e^{3/2} y\right)\text{ if }y>0$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/1495.txt b/pretraining/mathematica/algebra/invert_function/1495.txt new file mode 100644 index 0000000000000000000000000000000000000000..1a8ba7a820c483c2071f3d23e87fff420e19a659 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/1495.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\sinh \left(\frac{15}{2}-3 x\right)$ +Answer: +$\left\{\left\{x\to \frac{5}{2}-\frac{1}{3} \sinh ^{-1}(y)\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/1648.txt b/pretraining/mathematica/algebra/invert_function/1648.txt new file mode 100644 index 0000000000000000000000000000000000000000..9ea09ea628ad71ef8fa50295d8305404e8965621 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/1648.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $e^{9 x+5}$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{\log (y)}{9}-\frac{5}{9}\text{ if }y>0$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/1884.txt b/pretraining/mathematica/algebra/invert_function/1884.txt new file mode 100644 index 0000000000000000000000000000000000000000..4efc94b89bf5b993a8ebc41b943a10c595dd6264 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/1884.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $-((6 x-1) \csc (4))$ +Answer: +$\left\{\left\{x\to \frac{1}{6}-\frac{1}{6} y \sin (4)\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/2049.txt b/pretraining/mathematica/algebra/invert_function/2049.txt new file mode 100644 index 0000000000000000000000000000000000000000..07e0ba1da8b7cf7bf19fb82c2d1f150570d7437d --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/2049.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\sin \left(\frac{x}{2}+\frac{9}{2}\right)$ +Answer: +$\left\{\left\{x\to \fbox{$2 \left(-\sin ^{-1}(y)+2 \pi c_1+\pi \right)-9\text{ if }c_1\in \mathbb{Z}\land -1\leq y\leq 1$}\right\},\left\{x\to \fbox{$2 \left(\sin ^{-1}(y)+2 \pi c_1\right)-9\text{ if }c_1\in \mathbb{Z}\land -1\leq y\leq 1$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/2211.txt b/pretraining/mathematica/algebra/invert_function/2211.txt new file mode 100644 index 0000000000000000000000000000000000000000..4156c9a330f487a32204c267993ba168d7a3f3f5 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/2211.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\cos ^{-1}\left(\frac{7 x}{2}-\frac{11}{2}\right)$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{1}{7} (2 \cos (y)+11)\text{ if }0\leq y\leq \pi $}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/2377.txt b/pretraining/mathematica/algebra/invert_function/2377.txt new file mode 100644 index 0000000000000000000000000000000000000000..7f007d6ed5d8602e7f770166615cd6439bae791f --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/2377.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $-\sinh (6-5 x)$ +Answer: +$\left\{\left\{x\to \frac{1}{5} \sinh ^{-1}(y)+\frac{6}{5}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/2537.txt b/pretraining/mathematica/algebra/invert_function/2537.txt new file mode 100644 index 0000000000000000000000000000000000000000..398da850542a105ab324395229e145b20e0f494b --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/2537.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $e^{-9 x-\frac{11}{2}}$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{1}{9} \log \left(\frac{1}{y}\right)-\frac{11}{18}\text{ if }y>0$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/2638.txt b/pretraining/mathematica/algebra/invert_function/2638.txt new file mode 100644 index 0000000000000000000000000000000000000000..934fbce940c3bb398377c27f46abac3df2c43aac --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/2638.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $-\tan ^{-1}(6-6 x)$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{\tan (y)}{6}+1\text{ if }-\frac{\pi }{2}0$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/2987.txt b/pretraining/mathematica/algebra/invert_function/2987.txt new file mode 100644 index 0000000000000000000000000000000000000000..8e4753c8a42ed56bdc6d7d25a3444e6e3df0c487 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/2987.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\tan ^{-1}(2 x+2)$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{\tan (y)}{2}-1\text{ if }-\frac{\pi }{2}0$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/3376.txt b/pretraining/mathematica/algebra/invert_function/3376.txt new file mode 100644 index 0000000000000000000000000000000000000000..f72c8b0ca4f30852fae666e241e38b0938a285b5 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/3376.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\sinh \left(\sqrt[3]{5-\frac{9 x}{2}}\right)$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{1}{9} \left(10-2 \sinh ^{-1}(y)^3\right)\text{ if }y>0\lor y<0$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/3378.txt b/pretraining/mathematica/algebra/invert_function/3378.txt new file mode 100644 index 0000000000000000000000000000000000000000..2e7cbc90f71a295638b6f1b6f5414fdd56b46057 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/3378.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\sin ^{-1}(2 x+3)$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{1}{2} (\sin (y)-3)\text{ if }-\frac{\pi }{2}\leq y\leq \frac{\pi }{2}$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/3530.txt b/pretraining/mathematica/algebra/invert_function/3530.txt new file mode 100644 index 0000000000000000000000000000000000000000..dbd485eb285247480ae1bff818c08d5bf38bd892 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/3530.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $-\tanh \left(\frac{2 x}{5}+\frac{21}{5}\right)$ +Answer: +$\left\{\left\{x\to \fbox{$-\frac{5}{2} \tanh ^{-1}(y)-\frac{21}{2}\text{ if }-10$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/4039.txt b/pretraining/mathematica/algebra/invert_function/4039.txt new file mode 100644 index 0000000000000000000000000000000000000000..3c4fe970efd00c82582050fd2ee1c8aa5331fd22 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/4039.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $e^{\frac{11 x}{2}+\frac{7}{2}}$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{2 \log (y)}{11}-\frac{7}{11}\text{ if }y>0$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/4131.txt b/pretraining/mathematica/algebra/invert_function/4131.txt new file mode 100644 index 0000000000000000000000000000000000000000..a3b2a1b6a8cb16c608dc5dba9b57ab34300ae102 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/4131.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\cos ^{-1}(-3 x-2)$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{1}{3} (-\cos (y)-2)\text{ if }0\leq y\leq \pi $}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/4354.txt b/pretraining/mathematica/algebra/invert_function/4354.txt new file mode 100644 index 0000000000000000000000000000000000000000..c8b2469412a1a53cd0e97eaf55488ebc10233f47 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/4354.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\sqrt[3]{\frac{20 x}{3}+\frac{13}{3}}$ +Answer: +$\left\{\left\{x\to \frac{1}{20} \left(3 y^3-13\right)\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/441.txt b/pretraining/mathematica/algebra/invert_function/441.txt new file mode 100644 index 0000000000000000000000000000000000000000..bb94ee141550eca59b2cf8c7d0e18ea7b222ffe2 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/441.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\log \left(\frac{x}{3}-3\right)$ +Answer: +$\left\{\left\{x\to 3 e^y+9\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/4480.txt b/pretraining/mathematica/algebra/invert_function/4480.txt new file mode 100644 index 0000000000000000000000000000000000000000..fff25ded0bcddd8757984def29ae083750d2d6f9 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/4480.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\sin ^{-1}(6 x+7)$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{1}{6} (\sin (y)-7)\text{ if }-\frac{\pi }{2}\leq y\leq \frac{\pi }{2}$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/4633.txt b/pretraining/mathematica/algebra/invert_function/4633.txt new file mode 100644 index 0000000000000000000000000000000000000000..3b68ca1ee6265622d834cc78e578c8757dd6b319 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/4633.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\sqrt{6-\frac{33 x}{5}}$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{1}{33} \left(30-5 y^2\right)\text{ if }y>0$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/4737.txt b/pretraining/mathematica/algebra/invert_function/4737.txt new file mode 100644 index 0000000000000000000000000000000000000000..52d92664d6c54fde0c914466939e5980f04fc7bc --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/4737.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\sinh (8 x+4)$ +Answer: +$\left\{\left\{x\to \frac{1}{8} \sinh ^{-1}(y)-\frac{1}{2}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/4871.txt b/pretraining/mathematica/algebra/invert_function/4871.txt new file mode 100644 index 0000000000000000000000000000000000000000..0ba77927e4cf85fd4cf4274cc95298ce42ba8c54 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/4871.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\cos ^{-1}(-4 x-8)$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{1}{4} (-\cos (y)-8)\text{ if }0\leq y\leq \pi $}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/5236.txt b/pretraining/mathematica/algebra/invert_function/5236.txt new file mode 100644 index 0000000000000000000000000000000000000000..8e9de0e269a6acacbc7426f4610a1dfc0fc6475d --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/5236.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\sqrt{6 x+9}$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{1}{6} \left(y^2-9\right)\text{ if }y>0$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/5484.txt b/pretraining/mathematica/algebra/invert_function/5484.txt new file mode 100644 index 0000000000000000000000000000000000000000..e309d31ca9609e5794af9037858d78f2b53884f3 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/5484.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $-\tanh (3-9 x)$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{1}{9} \tanh ^{-1}(y)+\frac{1}{3}\text{ if }-10$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/6629.txt b/pretraining/mathematica/algebra/invert_function/6629.txt new file mode 100644 index 0000000000000000000000000000000000000000..c255fdb397fdb585bb312eb9382ca95a14a83854 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/6629.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\tan ^{-1}\left(e^{\frac{10 x}{3}+\frac{7}{3}}\right)$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{3}{10} \log (\tan (y))-\frac{7}{10}\text{ if }00$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/7540.txt b/pretraining/mathematica/algebra/invert_function/7540.txt new file mode 100644 index 0000000000000000000000000000000000000000..75207bc1aa1f51f06b8a14f2d1407084be3ef69f --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/7540.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\tanh (9 x+6)$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{1}{9} \tanh ^{-1}(y)-\frac{2}{3}\text{ if }-10$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/7799.txt b/pretraining/mathematica/algebra/invert_function/7799.txt new file mode 100644 index 0000000000000000000000000000000000000000..0dd3e749ea466bf2fca455a2448866ea36366512 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/7799.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\sin ^{-1}(3 x+8)$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{1}{3} (\sin (y)-8)\text{ if }-\frac{\pi }{2}\leq y\leq \frac{\pi }{2}$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/7947.txt b/pretraining/mathematica/algebra/invert_function/7947.txt new file mode 100644 index 0000000000000000000000000000000000000000..424f896137e58b433ac0e1eeed368923b461923e --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/7947.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\log \left(-\frac{14 x}{3}-\frac{1}{3}\right)$ +Answer: +$\left\{\left\{x\to \frac{1}{14} \left(-3 e^y-1\right)\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/8184.txt b/pretraining/mathematica/algebra/invert_function/8184.txt new file mode 100644 index 0000000000000000000000000000000000000000..50367fc134e30d735a0142d7d937ccafd25dee04 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/8184.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\sqrt[3]{x+\frac{9}{2}}$ +Answer: +$\left\{\left\{x\to \frac{1}{2} \left(2 y^3-9\right)\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/8380.txt b/pretraining/mathematica/algebra/invert_function/8380.txt new file mode 100644 index 0000000000000000000000000000000000000000..b46aaf845ed93782c4f134ff09c505598f4c4362 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/8380.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\sqrt[3]{4 x-2}$ +Answer: +$\left\{\left\{x\to \frac{1}{4} \left(y^3+2\right)\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/855.txt b/pretraining/mathematica/algebra/invert_function/855.txt new file mode 100644 index 0000000000000000000000000000000000000000..b11ccc0f55f8973b357145034a163a10c0291847 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/855.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\sqrt{e^{-x-7}}$ +Answer: +$\left\{\left\{x\to \fbox{$2 \log \left(\frac{1}{y}\right)-7\text{ if }y>0$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/8847.txt b/pretraining/mathematica/algebra/invert_function/8847.txt new file mode 100644 index 0000000000000000000000000000000000000000..1a417da8e92f12b607807a1553bc1f9cb6ac680c --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/8847.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $-\tan ^{-1}\left(2-\frac{19 x}{3}\right)$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{3 \tan (y)}{19}+\frac{6}{19}\text{ if }-\frac{\pi }{2}0$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/9203.txt b/pretraining/mathematica/algebra/invert_function/9203.txt new file mode 100644 index 0000000000000000000000000000000000000000..d7d360e48afb739297424f421607b315272b6147 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/9203.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\sinh \left(\frac{15}{2}-5 x\right)$ +Answer: +$\left\{\left\{x\to \frac{3}{2}-\frac{1}{5} \sinh ^{-1}(y)\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/9298.txt b/pretraining/mathematica/algebra/invert_function/9298.txt new file mode 100644 index 0000000000000000000000000000000000000000..ae315c549507468311b0481443fd9182e8278ff4 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/9298.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\log \left(-\frac{5 x}{2}-\frac{9}{2}\right)$ +Answer: +$\left\{\left\{x\to \frac{1}{5} \left(-2 e^y-9\right)\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/9331.txt b/pretraining/mathematica/algebra/invert_function/9331.txt new file mode 100644 index 0000000000000000000000000000000000000000..1b0b437cec793cfbad12cb0c10d31cdf5708b144 --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/9331.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $-\tanh \left(\frac{5 x}{3}+6\right)$ +Answer: +$\left\{\left\{x\to \fbox{$-\frac{3}{5} \tanh ^{-1}(y)-\frac{18}{5}\text{ if }-10$}\right\}\right\}$ \ No newline at end of file diff --git a/pretraining/mathematica/algebra/invert_function/9927.txt b/pretraining/mathematica/algebra/invert_function/9927.txt new file mode 100644 index 0000000000000000000000000000000000000000..096995eab7315f31c34ebdd0f844b5876e8647ac --- /dev/null +++ b/pretraining/mathematica/algebra/invert_function/9927.txt @@ -0,0 +1,4 @@ +Problem: +Find the inverse of the following function: $\sqrt{\frac{17}{2}-4 x}$ +Answer: +$\left\{\left\{x\to \fbox{$\frac{1}{8} \left(17-2 y^2\right)\text{ if }y>0$}\right\}\right\}$ \ No newline at end of file