# How do you find the asymptotes for #f(x) = (3x^2 + 15x +18) /( 4x^2-4)#?

##### 1 Answer

Jan 3, 2017

The vertical asymptotes are

No slant asymptote

The horizontal asymptote is

#### Explanation:

We need

We factorise the denominator

The domain of

As we cannot divide by

The vertical asymptotes are

As the degree of the numerator is

To find the horizontal asymptotes, we look at the limits of

The horizontal asymptote is

graph{(y-(3x^2+15x+18)/(4x^2-4))(y-3/4)=0 [-14.24, 14.23, -7.12, 7.11]}