SOLUTION: Find the domain of the function, vertical asymptote, horizontal asymptotes, and slant asymptotes of f(x)= x^2+1 / x-2

Algebra ->  Rational-functions -> SOLUTION: Find the domain of the function, vertical asymptote, horizontal asymptotes, and slant asymptotes of f(x)= x^2+1 / x-2      Log On


   

Question 966475: Find the domain of the function, vertical asymptote, horizontal asymptotes, and slant asymptotes of
f(x)= x^2+1 / x-2
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Domain: -infinity%3Cx%3C2 and 2%3Cx%3Cinfinity

Vertical Asymptote: f(x) is undefined for x=2.

Does f have any limit as x tends toward negative or positive infinity?

Slant Asymptote: Perform the polynomial division. The quotient represents the slant asymptote (because the remainder itself as a rational expression becomes increasingly small in size as x goes unbounded to the left or to the right).