# How do you find the vertical, horizontal or slant asymptotes for f(x) = ( 3x^2 + 2x - 1 )/( x + 1)?

Aug 3, 2016

f(x) has no asymptotes.

#### Explanation:

The first step is to factorise and simplify f(x).

$f \left(x\right) = \frac{\left(3 x - 1\right) \cancel{\left(x + 1\right)}}{\cancel{\left(x + 1\right)}} = 3 x - 1$

Now f(x)= 3x - 1 is the equation of a line and has no asymptotes.
graph{3x-1 [-10, 10, -5, 5]}