Chapter 10 - Section 10.2 - Permutations and Combinations - 10.2 Assess Your Understanding - Page 697: 69

$y=0, x=4$

Since the top is of a lower degree, $y=0$ is a horizontal asymptote and there are no slant asymptotes. Factoring the bottom gives $(x-4)(x+3)$ so we have a removable discontinuity at $x=-3$, and $x=4$ is a vertical asymptote.