Question

How do I find f(g(x)) if f(x) = 3x + 1 and g(x) = x^2 - 1?

Answer 1

g(DeadShot) = DeadShot^2 - 1 isn't it?

Answer 2

now what is g(f(x))?

Answer 3

so f(g(x)) = 3(g(x)) + 1, right?

Answer 4

YUP

Answer 5

3(x) = 3x+1
So f(g(x)) = 3*g(x) + 1 [Now put g(x)'s value in it]
Understood? :D

Answer 6

\[f(g(x)) = 3*(x^2-1)+1\]

Answer 7

f(x) tells us that the function f, is composed of x

f(g) simply tells us that the function f, is composed of g, and we know how g is composed since they tell us that already

Answer 8

So then \[f(g(x))= 3x^2-2\] or \[f(g(x))=3x^3-2\]?

Answer 9

\[f(g(x)) = 3*(x^2-1)+1\]
this does not produce an x^3 .... so

Answer 10

so then the answer would be \[3x^2-2\]

Answer 11

yes

Answer 12

Thanks!

Answer 13

youre welcome