# How do you find the vertical, horizontal and slant asymptotes of: # f(x)=(2x - 2 )/( (x-1)(x^2 + x - 1))#?

##### 1 Answer

Oct 31, 2016

The vertical asymptotes are

and

The horizontal asymptote is

There is no slant symptote

#### Explanation:

You can start by simplifying

So

As we cannot divide by

The roots of this equation is

So the roots are

So the vertical asymptotes are

and

And the limit of

so the horizontal asymptote is

graph{2/(x^2+x-1) [-7.474, 8.33, -4.27, 3.63]}