Answer
(a) $x=\pm5$
(b) $x=-3$
Work Step by Step
Factor the function first $f(x)=\frac{x^2(x+7)-25(x+7)}{x^2(x+3)-25(x+3)}=\frac{(x+7)(x+5)(x-5)}{(x+3)(x+5)(x-5)}$
(a) The x-values of the holes are $x=\pm5$
(b) The vertical asymptote is $x=-3$
