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

Answer 1

A

Explanation:

Answer 2

Answer: 16875x³-13500x²+3600x-320

Explanation:

[gοfοh](x) means g(f(h(x))). So you plug in h(x) into f(x) and that into g(x).

f(3x)=5(3x)-4=15x-4

g(f(3x))=5(15x-4)³

g(f(3x))=5(3375x³-2700x²+720x-64)

g(f(3x))=16875x³-13500x²+3600x-320