# How do you find the asymptotes for #(3x^2+x-4) / (2x^2-5x)#?

##### 1 Answer

Feb 1, 2016

Horizontal asymptote:

Vertical asymptote:

#### Explanation:

Here is a graph of the expression in question.

graph{(3x^2 + x - 4)/(2x^2 - 5x) [-10, 10, -5, 5]}

You can try to simplify the expression first.

When

Hence, there is a horizontal asymptote with equation

Also note that the expression is not defined for

Hence, there are 2 vertical asymptotes, with equation