Question

Which expression represents the composition [g o f o h](x) for the functions below?

f(x) = 5x – 4
g(x) = 5x3
h(x) = 3x

5(15x – 4)^3
(75x – 20)^3
5(5x – 4)^3
675x^3 – 4

Answer 1

A. 5(15x – 4)3

Explanation:

Answer 2

`5(15x-4)^3`

Explanation:

`f(x) = 5x - 4`

`g(x) = 5x^3`

`h(x) = 3x`

`(gofoh)(x)=g(f(h(x)))`

Replace h(x) first

`g(f(h(x)))=g(f(3x))`

Now we plug in 3x in f(x)

`g(f(h(x)))=g(f(3x))=g(5(3x)-4)=g(15x-4)`

Now we plug in 15x-4 in g(x)

`g(f(h(x)))=g(f(3x))=g(5(3x)-4)=g(15x-4)=5(15x-4)^3`