Question

F(x) =2x-4 and g(x) =-3x+2 find: f(g(x))

Answer 1

f(g(x))=6x-8

Explanation:

To keep it simple lets say if , for example

`f(x)=2x-4`

then f(2) would be what?

`f(2)=2(2)-4\\f(2)=0`

which means we plugged in x=2 in our f(x) this goes for same as the composite function
`f(g(x))` where we plug in g(x) in f(x) and replace x with g(x). I'll show you

`f(x)=2x-4\\g(x)=-3x+2\\`

now we insert g(x) in f(x) cause we need f(g(x)) which means we replace x with the function g(x).

`f(g(x))=-2(-3x+2)-4`

`f(g(x))=6x-4-4\\f(g(x))=6x-8`

so that is our final answer.

Hope i helped