Answer
$$\color{blue}{\bf{ 144 }}$$
Work Step by Step
We are given the two functions $\bf{f}$ and $\bf{g}$
$\bf{f(x) = x^2 + 3}$ and $\bf{g(x) = -2x + 6}$
and asked to find $\bf{( fg )( -3 )}=f(-3)\times{g(-3)}$
$( (-3)^2 + 3 )( -2(-3) + 6 )$
$( 9 + 3 )( 6 + 6 )$
$( 12 )( 12 )$
$144$
$$\color{blue}{\bf{ 144 }}$$