Question

(4x^3+20)^2 and g(x)=4x^3+20 Given that f(x)= (h g)(x), find h(x).

Answer 1

We know that:

`f(x)=(4x^3+20)^2`
`g(x)=4x^3+20`

and that:

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

pluggign the values we are given we get:

`\begin{gathered} (4x^3+20)=(4x^3+20)h(x) \\ h(x)=((4x^3+20)^2)/(4x^3+20) \\ h(x)=4x^3+20 \end{gathered}`

Therefore:

`h(x)=4x^3+20`