# How do you find the Vertical, Horizontal, and Oblique Asymptote given #((x-3)(9x+4))/(x^2-4)#?

##### 1 Answer

Jan 26, 2017

The vertical asymptotes are

The horizontal asymptote is

No slant asymptote

#### Explanation:

Let

Let's factorise the denominator

As you cannot divide by

The vertical asymptotes are

As the degree of the numerator is

The horizontal asymptote is

graph{(y-((x-3)(9x+4)/(x^2-4)))(y-9)=0 [-41.1, 41.1, -20.55, 20.57]}