Question

Let f(x) = -4x + 7 and g(x) = 10x - 6. Find f(g(x)).

-40x + 24

-40x + 31

-40x + 64

-40x + 70

Answer 1

Start with the outer function f(x) = -4x + 7

Answer 2

everywhere you see an x, replace it with g(x)

f(x) = -4x + 7

f(g(x)) = -4( g(x) ) + 7

Answer 3

on the right side, replace g(x) with 10x - 6 since g(x) = 10x - 6

f(g(x)) = -4( g(x) ) + 7

f(g(x)) = -4( 10x - 6 ) + 7

I'll let you finish up. You just need to distribute and combine like terms to simplify.

Answer 4

ok cool thanks @jim_thompson5910

Answer 5

you're welcome

Answer 6

hey is it -40x+31 @jim_thompson5910

Answer 7

You are correct.