# How do you find the asymptotes for #f(x) = (x^3 + x^2 - 6x) /( 4x^2 - 8x - 12)#?

##### 1 Answer

Jan 26, 2016

Asymptotes are

#### Explanation:

Start by finding the factors for both numerator and denominator.

This confirms that there are no removable asymptotes as there are no factors that cancel out.

The denominator approaches zero, and therefore the function value

As

So there is a slant asymptote of