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 1067302: 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) = (3x^2+10x+8)/(x^2-2x-8)
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Since the degree of both red%283%29%2Ax%5E2%2B10x%2B8 andgreen%281%29%2Ax%5E2-2x-8 is the same, 2 ,

There is a horizontal asymptote, whose y-value is the quotient of the leading coefficients, red%283%29%2Fgreen%281%29=3 .
The asymptote is highlight%28y=3%29 .