# How do you find vertical, horizontal and oblique asymptotes for #f(x) =( x^3 - 4x^2 + 5x + 5)/(x - 1)#?

##### 1 Answer

Dec 21, 2017

#### Explanation:

#f(x) = (x^3-4x^2+5x+5)/(x-1)#

#color(white)(f(x)) = (x^3-x^2-3x^2+3x+2x-2+7)/(x-1)#

#color(white)(f(x)) = x^2-3x+2 + 7/(x-1)#

This function has a vertical asymptote

As

So there are no other linear asymptotes.

graph{(x^3-4x^2+5x+5)/(x-1) [-10, 10, -200, 200]}