Question

Which expression represents the composition [g o f o h](x) for the functions below?
f(x) = 5x – 4
g(x) = 5x^3
h(x) = 3x

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

Answer 1

Answer:

A

5(15x-4)^3

Explanation:

I assume you mean g(f(h(x))) so in that case here is how you do it:

So the first one is g(x) which is:

5x^3

Now g(f(x)) you just plug in f(x) for the x in the g equation. It would look like this:

5(5x-4)^3

Now the h(x) you would do the same, plug it in for all the values of x in g(x). So it would look like this:

5(5(3x)-4)^3

Since you simplify, you get 5(15x-4)^3

This final equation is g(f(h(x))) which is what you were looking for, which is A