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

Jun 15, 2016

f(x) has no asymptotes

#### Explanation:

Begin by factorising and simplifying f(x)

$f \left(x\right) = \frac{3 {x}^{2} + 2 x - 1}{x + 1} = \frac{\left(3 x - 1\right) \cancel{\left(x + 1\right)}}{\cancel{x + 1}} = 3 x - 1$

This rational function reduces to f(x) = 3x - 1

This is a straight line and has no asymptotes.
graph{3x-1 [-10, 10, -5, 5]}