role stringclasses 2
values | content stringlengths 0 2.1k | session_id int64 10 21.7k | sequence_id int64 0 2.38k | annotations listlengths 0 8 |
|---|---|---|---|---|
volunteer | F | 16,143 | 528 | [] |
volunteer | composite of G. | 16,143 | 529 | [] |
volunteer | All right? So | 16,143 | 530 | [] |
volunteer | when we're asked | 16,143 | 531 | [] |
volunteer | to find the actual function, | 16,143 | 532 | [] |
volunteer | it's not too complicated. It's the same as just, oh. | 16,143 | 533 | [] |
volunteer | change | 16,143 | 534 | [] |
volunteer | OK. | 16,143 | 535 | [] |
student | Mhm | 16,143 | 536 | [] |
volunteer | see | 16,143 | 537 | [] |
volunteer | Just erase this | 16,143 | 538 | [] |
volunteer | what I wrote | 16,143 | 539 | [] |
volunteer | OK, uh | 16,143 | 540 | [] |
volunteer | so | 16,143 | 541 | [] |
volunteer | if it helps you | 16,143 | 542 | [] |
volunteer | what is F of | 16,143 | 543 | [] |
volunteer | Y | 16,143 | 544 | [] |
volunteer | But you evaluate that | 16,143 | 545 | [] |
student | There's no why. So how do I know the way? | 16,143 | 546 | [] |
volunteer | So let's just say why is the just the variable Y. There's no uh | 16,143 | 547 | [] |
volunteer | I could have, I could say that, but let's just say why is | 16,143 | 548 | [] |
volunteer | just why | 16,143 | 549 | [] |
student | Well then it's, it's Y. F is Y. | 16,143 | 550 | [] |
volunteer | So this would be | 16,143 | 551 | [] |
student | Because Y is not | 16,143 | 552 | [] |
volunteer | so this would be 2, right? Essentially, where you find the X. | 16,143 | 553 | [] |
volunteer | you do 2 Y squared. | 16,143 | 554 | [] |
volunteer | minus 3Y. | 16,143 | 555 | [] |
volunteer | OK. | 16,143 | 556 | [] |
volunteer | If it helps you, let's say Y is 3 X + 2. | 16,143 | 557 | [] |
volunteer | So when we say F of G of X | 16,143 | 558 | [] |
volunteer | Well, we said | 16,143 | 559 | [] |
volunteer | we uh | 16,143 | 560 | [] |
volunteer | we say Y is equal to G of X, which is 3 x + 2. | 16,143 | 561 | [] |
volunteer | So now essentially where that Y is. | 16,143 | 562 | [] |
volunteer | you would plug in | 16,143 | 563 | [] |
volunteer | that function. So it'd be 2. | 16,143 | 564 | [] |
volunteer | GFX | 16,143 | 565 | [] |
volunteer | 2 | 16,143 | 566 | [] |
volunteer | minus | 16,143 | 567 | [] |
volunteer | 3GF X. | 16,143 | 568 | [] |
volunteer | So then usually when they ask you for this kind of question, they're gonna ask you to finish the whole thing. So, | 16,143 | 569 | [] |
volunteer | this is technically true | 16,143 | 570 | [] |
volunteer | but what they would want is something like | 16,143 | 571 | [] |
volunteer | you plug in | 16,143 | 572 | [] |
volunteer | the, the function. So 3 x + 2. | 16,143 | 573 | [] |
volunteer | 2 times | 16,143 | 574 | [] |
volunteer | 3 x + 2 | 16,143 | 575 | [] |
volunteer | Oh, it's a bad 3 | 16,143 | 576 | [] |
volunteer | supposed to be 3 | 16,143 | 577 | [] |
volunteer | 3 x + 2. | 16,143 | 578 | [] |
volunteer | 2 | 16,143 | 579 | [] |
volunteer | minus 3 | 16,143 | 580 | [] |
volunteer | times | 16,143 | 581 | [] |
volunteer | 3 x + 2. | 16,143 | 582 | [] |
volunteer | So this this goes deeper. You can simplify that further, but that's the general idea of how you would solve for it. | 16,143 | 583 | [] |
student | Mm | 16,143 | 584 | [] |
volunteer | So wherever you see the acts. | 16,143 | 585 | [] |
volunteer | right? So F of GFX, you're just gonna plug in | 16,143 | 586 | [] |
volunteer | GFX right there. But that, that, that whole thing would be squared. | 16,143 | 587 | [] |
volunteer | minus 3 | 16,143 | 588 | [] |
volunteer | and that whole thing times. | 16,143 | 589 | [] |
volunteer | 3 x + 2 | 16,143 | 590 | [] |
volunteer | These are equivalent | 16,143 | 591 | [] |
volunteer | OK | 16,143 | 592 | [] |
volunteer | So that, that's the, the high level | 16,143 | 593 | [] |
volunteer | If you have another one | 16,143 | 594 | [] |
volunteer | I wish there was another example, so you could practice it. | 16,143 | 595 | [] |
volunteer | But that's how you would approach doing that kind of problem. | 16,143 | 596 | [] |
student | Mm. | 16,143 | 597 | [] |
student | no | 16,143 | 598 | [] |
volunteer | It's, it's the same idea, right? So when we're talking about | 16,143 | 599 | [] |
volunteer | we're, we're taking the input | 16,143 | 600 | [] |
volunteer | the output of GFX. | 16,143 | 601 | [] |
volunteer | and it's gonna become the input to the next function. | 16,143 | 602 | [] |
volunteer | And remember that picture? | 16,143 | 603 | [] |
volunteer | except we're not using a number | 16,143 | 604 | [] |
volunteer | we're just | 16,143 | 605 | [] |
volunteer | solving it | 16,143 | 606 | [] |
volunteer | or simplifying it | 16,143 | 607 | [] |
volunteer | with the, the X | 16,143 | 608 | [] |
student | Mm | 16,143 | 609 | [] |
student | got it | 16,143 | 610 | [] |
volunteer | It might be helpful if there's another, do you have another example, and then you could try doing that one. | 16,143 | 611 | [] |
student | Yeah, I do, I do | 16,143 | 612 | [] |
student | Hm | 16,143 | 613 | [] |
student | So I | 16,143 | 614 | [] |
student | X would be X | 16,143 | 615 | [] |
student | 2. | 16,143 | 616 | [] |
student | -3X | 16,143 | 617 | [] |
student | G X | 16,143 | 618 | [] |
student | will be 3 X. | 16,143 | 619 | [] |
volunteer | I don't know. | 16,143 | 620 | [] |
student | OK, so. | 16,143 | 621 | [] |
student | you had | 16,143 | 622 | [] |
student | Alright, so. | 16,143 | 623 | [] |
student | Liam. | 16,143 | 624 | [
{
"pii_type": "PERSON",
"surrogate": "Liam",
"start": 0,
"end": 4
}
] |
student | right so | 16,143 | 625 | [] |
student | we singing. | 16,143 | 626 | [] |
student | at | 16,143 | 627 | [] |
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