Answer
$(-4,3)$
Work Step by Step
The domain goes from the lowest $x$-value to the highest $x$-value of each function.
The domain of $\frac{f}{g}$ is the intersection of both functions minus the points where $g(x)=0$. $g(x)=0$ when $x=-4$ and $x=3$, so the open interval $(-4,3)$ is the domain.
$f:[-4,3]$
$g:[-5,5]$
