# How do you find the vertical, horizontal or slant asymptotes for #f(x) = ((x-3)(9x+4))/(x^2-4)#?

##### 1 Answer

Nov 8, 2016

The vertical asymptotes are

The horizontal asymptote is

#### Explanation:

The denominator,

As we cannot divide by zero, the vertical asymptotes are

As the degree of the numerator is the same asthe degree of the denominator, there is no slant asymptote:

graph{(y-((x-3)(9x+4))/((x+2)(x-2)))(y-9)=0 [-41.13, 41.15, -20.55, 20.57]}