Question

How do you find all the asymptotes for function `f(x)= (4x^2-x+2)/(x+1)`?

Answer 1

If you have also studied slant asymptotes, you will include: `y=4x-5` as a slant asymptote.

Explanation:

By either long division of synthetic division, get:

`(4x^2-x+2)/(x+1) = 4x-5+ 7/(x+1)`

So the line `y=4x-5` is a slant asymptote.