Question

How do you find the slant asymptote of `f(x) = (x^3 - 2x^2 +x - 4) / (x^2 +1)`?

Answer 1

See Finding asymptotes for a good concise explanation

Explanation:

First divide the denominator into the numerator.

`f(x) = x-2 -(2/(x^2+1))`

Then the slant asymptote is `y = x-2`