SOLUTION: Determine the equation of the horizontal asymptote of the function. If the function does not have a horizontal asymptote, explain why. You must write the answer in an equation.

Algebra ->  Equations -> SOLUTION: Determine the equation of the horizontal asymptote of the function. If the function does not have a horizontal asymptote, explain why. You must write the answer in an equation.       Log On


   

Question 1067303: Determine the equation of the horizontal asymptote of the function. If the function does not have a horizontal asymptote, explain why. You must write the answer in an equation.
f(x) = (2x-6)/(x^2-x-2)
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Since the degree of 2x-6%29%29%29+is+%7B%7B%7B1 ,
which is less than 2 , the degree of x%5E2-x-2 ,
lim%28x-%3Einfinity%2C+%282x-6%29%2F%28x%5E2-x-2%29%29=0 .
so, the horizontal asymptote is highlight%28y=0%29 .
graph%28600%2C300%2C-20%2C20%2C-5%2C5%2C6%2C%282x-6%29%2F%28x%5E2-x-2%29%29