# How do you find the asymptotes for #R (x) = (7x) /( 4x^2 -1)#?

##### 1 Answer

Dec 9, 2016

The vertical asymptotes are

No slant asypmtote.

The horizontal asymptote is

#### Explanation:

we use

Let's factorise the denominator

The domain of

As we cannot divide by

The vertical asymptotes are

The degree of the numerator is

To calculate the limits as

The horizontal asymptote is

graph{7x/(4x^2-1) [-6.24, 6.244, -3.12, 3.12]}