# How do you find the asymptotes for #g(x)= (-2x+3)/(3x+1)#?

##### 1 Answer

Jan 20, 2016

There exists a vertical asymptote at

#### Explanation:

Vertical asymptotes occur at points that lead to division by zero or negative even square roots.

In this case, division by zero results if the denominator of the rational function is zero, ie if

Horizontal asymptotes occur at

The graph of the function verifies this.

graph{(-2x+3)/(3x+1) [-11.25, 11.245, -5.63, 5.62]}