## College Algebra (6th Edition)

$(-4,3)$
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. $f:[-4,3]$ $g:[-5,5]$