Answer
The answer is below.
Work Step by Step
In order to find the x-intercepts of the function, we set the numerator equal to zero and then find the value of x.
$$x^2=-9$$
There are no x intercepts.
We then set the denominator equal to zero and solve to find the vertical asymptotes.
$$(x+3)(x-5)=0 \\ x=-3,5$$