# How to find the asymptotes of #f(x) = (3x^2 + 2x - 1 )/( x + 1)#?

##### 1 Answer

Apr 16, 2018

#### Answer:

No asymptotes.

#### Explanation:

Factoring the numerator:

This is known as a removable discontinuity:

So we are left with a linear function. These have no asymptotes.

**NOTE**

It is best to check rational functions for removable discontinuities first, otherwise you can end up making errors. If we had not noticed the discontinuity in the above function, we would have calculated there to be an asymptote at

Graph:

graph{(3x^2+2x-1)/(x+1) [-10, 10, -5, 5]}