Question

Help with inverses

Answer 1

f(x)=4x-8 g(x)=x^2 find (g o f)(x)

Answer 2

@freckles would this be 4x^3-8x^2

Answer 3

we are going to find g(f(x))
this means we are going to replace the x's in g(x)=x^2 with (4x-8)

Answer 4

so 4x^2-8?

Answer 5

now if you were asked to find (f o g)(x)
this would be f(g(x))=4g(x)-8
where g(x)=x^2
so you have
f(g(x))=4x^2-8

Answer 6

so basically 16x^2 -64x+64?

Answer 7

that looks good
(4x-8)(4x-8)
16x^2-32x-32x+64
16x^2-64x+64