# What are the asymptotes for #f(x)= x/(x(x-2))#?

##### 1 Answer

Jul 13, 2015

So there's one vertical asymptote (simple pole) at

The horizontal asymptote is

#### Explanation:

For any rational expression with polynomial numerator and denominator, there are usually vertical asymptotes whenever the denominator is zero.

Here we see an exception to that in that both the numerator and denominator of

Since

we can see that

resulting in a horizontal asymptote