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

Jan 21, 2016

See Finding asymptotes for a good concise explanation

#### Explanation:

First divide the denominator into the numerator.

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

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