# What are the asymptotes of #(x^2 + x + 2)/ (3x +1)#?

##### 1 Answer

Oct 2, 2016

#### Explanation:

Generally, to find the vertical asymptotes of any rational function like

Once we solve for

And here's how your graph looks: graph{(x^2+x+2)/(3x+1) [-10, 10, -5, 5]}

As you can see the asymptote is

The graph suggests there is also a slant asymptote for

To find it we need calculus definitions, but we are in Algebra branch, therefore I think it was asked of you to find only vertical asymptotes.