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

f(x)=-4x+7 g(x)=10x-6
f(g(x))
we take the g(x) equation and input it into the x in the f(x) equation
f(10x-6) = -4(10x-6)+7
then we solve for f(x) = -4(10x-6)+7
f(x) = -4(10x-6)+7
= -4(10x)-4(-6)+7
=-40x+24+7
=-40x+31