Question

PLS HELP!!!
Let f(x) = x2 and g(x) = x − 3.

Evaluate (g ∘ f)(−2).

Answer 1

So first find f(-2) and then plug that number into g(x)

Answer 2

OR.....just do the composition

Answer 3

@dude

Answer 4

@Shadow

Answer 5

You're right, Billy. In this case, it would be just as easy (and not messy at all) to find the composition.

Answer 6

Also, eviant, if you're not going to respond and participate in your own question after receiving help and instead tag other users, then you're mostly likely not going to receive help from others. QuestionCove is not a resource to give you answers but rather to help you learn. We can teach you how to answer this simple question so that when you're assignment has 10 of these questions, you'll get them all right instead of having to post 10 questions.

Answer 7

@TheSmartOne how do I find f(x)=X^2?

Answer 8

(g ∘ f)(−2) = g(f(-2))

So we want to do the innermost parenthesis

f(-2) = ??

we know that f(x) = x^2
so to find f(-2) we just plug -2 in the place of x and solve

so what is (-2)^2 = ??

Answer 9

-4

Answer 10

Uh no

Answer 11

aren't you saying to square -2?

Answer 12

sorry, I meant 4

Answer 13

Yes, that's correct so we go from

\(g( \color{red}{f(-2)}) = g(\color{red}{4})\)

Do you understand so far?

Answer 14

yes, I think

Answer 15

so, I sub -2 for f?

Answer 16

So when we did f(-2) that was (-2)^2

now we need to find g(4)

g(x) = x - 3
g(4) = ??

just replace the x with 4 and solve

Answer 17

g(x)=4-3
g(4)=1

Answer 18

is that correct?

Answer 19

Correct! And that's your answer

Answer 20

thank you so much,
also I apologie for not being here first, next time I'll try to post my question when I have time to answer it

Answer 21

apologize*

Answer 22

@TheSmartOne

Doing both is the Counsel of Perfection :)

Answer 23

Definitely :)

Answer 24

And no problem, eviant! Hopefully you learned something :)