Question

Given: g(x) = Vx – 4 and h(x) = 2x – 8.
What is g(h(10))?

Answer 1

g(h(10)) = 43

Explanation:

Given: g(x) = 4x – 4 and h(x) = 2x – 8.

We are to find g(h(10))

First we need to get g(h(x))

g(h(x)) = g(2x-8)

Replace x in g(x) with 2x-8 as shown:

g(2x-8) = 4(2x-8)-4

g(2x-8)= 8x-32-5

g(2x-8) = 8x-37

Hence g(h(x)) = 8x-37

g(h(10)) = 8(10)-37

g(h(10)) = 80-37

g(h(10)) = 43

Hence g(h(10)) is 43