Question

If h(x)=(fog)(x) and h(x)=4(x+1)^2, find f(x) and g(x)

Answer 1

There is no single answer. I mean you could let \[
f(x) = x\\
g(x) = h(x)
\]Or \[
f(x) = h(x)\\
g(x) = x
\]For example

Answer 2

In this case though, I think they want you to set \(g(x)\) to the part in parenthesis.

Answer 3

\[h(x)=\color{blue}{4(}\color{red}{x+1}\color{blue}{)^2}\]

Answer 4

This would leave you with: \[
g(x) = \color{red}{x+1} \quad\text{and}\quad f(x)=\color{blue}{4x^2}
\]

Answer 5

thanx