Answer
$$\color{blue}{\bf{ -38 }}$$
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 $\bf{( fg )( 4 )}=f(4)\times{g(4)}$
$(4^2 + 3)( -2(4) + 6)$
$(16 + 3)( -8 + 6)$
$(19)( -2)$
$-38$
$$\color{blue}{\bf{ -38 }}$$