Question

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

Answer 1

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]}