Answer
$\color{blue}{\bf{ f(x)= x^2 \text{ ; } g(x)= 11x^2 + 12x }}$
$\color{blue}{\bf{\text{or other equivalent functions}}}$
Work Step by Step
We are given the function $\bf{h(x)= (11x^2 + 12x)^2 }$ and are asked to find two functions ${f(x)}$ and ${g(x)}$ such that $( f \text{ }\omicron\text{ g} )(x) =h(x)$
There are many ways to do this, for example:
$\color{magenta}{f(x)= x^2 }$ and $\color{lime}{g(x)= 11x^2 + 12x }$
$\color{lime}{ (11x^2 + 12x) }
\color{magenta}{ ^2 }$
$\color{blue}{\bf{ f(x)= x^2 \text{ ; } g(x)= 11x^2 + 12x }}$
$\color{blue}{\bf{\text{or other equivalent functions}}}$