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

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Answer 1 · 2015-06-15T20:51:31

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

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.

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