Answer
$$\color{blue}{\bf{ \frac{ 1 }{ 2 } }}$$
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 $\bf{( \frac{f}{g} )( -1 )}=\frac{f(-1)}{g(-1)}$
$\frac{ (-1)^2 + 3 }{ -2(-1) + 6 }$
$\frac{ 1+ 3 }{ 2 + 6 }$
$\frac{ 4 }{ 8 }$
$\frac{ 1 }{ 2 }$
$$\color{blue}{\bf{ \frac{ 1 }{ 2 } }}$$