Given that \(g(x)=3x^2\quad\)and\(\quad h(x)=x-2,\quad\) evaluate:

\(gh(1)\)

\begin{align}g(1-2) & = g(-1)\\ & = 3(-1)^2\\ & = 3\end{align}

\(hg(3)\)

\begin{align}h(3(3)^2) & = h(27)\\ & = 27-2\\ & = 25\end{align}

\(gh(3)\)

\begin{align}g(3-2) & = g(1)\\ & = 3(1)^2\\ & = 3\end{align}

\(gg(-2)\)

\begin{align}g(3(-2)^2) & = g(12)\\ & = 3(12)^2\\ & = 432\end{align}