Question

Let f(x) =(4x"3+20)"2 and g(x) =4x"3+20.given that f(x)=(h°g)(x), find h(x)

Answer 1

`h(x)=x^2`

Here, we want to find the function h(x)

From the question, we can see that the function f(x) is a composite function that was obtained by fitting g(x) into h(x)

What can we notice about g(x) and f(x)?

What we can see is that f(x) is the square of g(x)

Thus, what this mean is that h(x) = x^2