# What are the asymptote(s) and hole(s), if any, of # f(x) = (x*(x-2))/(x^2-2x+1)#?

##### 1 Answer

#### Explanation:

This rational equation has a vertical and horizantal asymptote .

Vertical asymptote is determined by factorizing the denominator :

Then,

Let us find the horizantal asymptote :

As it is known we have To check both degrees of the

numerator and denominator .

Here , the degree of the numerator is

denominator is

If

In

Same degree in the numerator and denominator then horizantal

asymptote is