Question

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

Answer 1

f(x) = -4x + 7 .. start with the outer most function

f(g(x)) = -4( g(x) ) + 7 ... replace all copies of x with g(x)

f(g(x)) = -4( 10x-6 ) + 7 ... replace all copies of g(x) on the right side with 10x-6

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

f(g(x)) = -40x + 24 + 7

f(g(x)) = -40x + 31

Answer 2

thank you very much

Answer 3

you're welcome