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

##### 1 Answer

Jun 15, 2016

f(x) has no asymptotes

#### Explanation:

Begin by factorising and simplifying f(x)

#f(x)=(3x^2+2x-1)/(x+1)=((3x-1)cancel((x+1)))/cancel(x+1)=3x-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]}