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

##### 1 Answer

Nov 12, 2016

The vertical asymptotes are

The vertical asymptote is

There are no slant asymptotes

#### Explanation:

Let's factorise the denominator

As we cannot divide by

The degree of the numerator is

So

graph{(x+4)/(3x^2+5x-2) [-11.05, 6.73, -6.2, 2.69]}