# What is the horizontal asymptote of #y = (x^2-x-6)/(x-2)#?

##### 1 Answer

Oct 22, 2015

has a vertical asymptote

and an oblique asymptote

It has no horizontal asymptote.

#### Explanation:

#y = (x^2-x-6)/(x-2)#

#= (x^2-2x+x-2-4)/(x-2)#

#=(x(x-2)+(x-2)-4)/(x-2)#

#=x+1-4/(x-2)#

As

So

When

So