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

Jun 15, 2015

If you have also studied slant asymptotes, you will include: $y = 4 x - 5$ as a slant asymptote.
$\frac{4 {x}^{2} - x + 2}{x + 1} = 4 x - 5 + \frac{7}{x + 1}$
So the line $y = 4 x - 5$ is a slant asymptote.