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.

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) (Show Source): You can put this solution on YOUR website!
Since the degree of both and is the same, ,

There is a horizontal asymptote, whose y-value is the quotient of the leading coefficients, .
The asymptote is .
RELATED QUESTIONS
Determine the equation of the horizontal asymptote of the function. If the function does (answered by KMST)

Determine the equation of the horizontal asymptote of the function. If the function does (answered by KMST)

Determine the equation of the horizontal asymptote of the function. If the function does... (answered by josgarithmetic)

Determine the equation of the horizontal asymptote of the function. If the function does... (answered by stanbon)

Determine the equation of the horizontal asymptote of the function. If the function does... (answered by josgarithmetic)

does the average cost function C = 15 + 125/x have a horizontal asymptote? If so, what is (answered by josgarithmetic)

Does the function f(x)= (x^2+3)/(x^2-1) have a vertical or horizontal asymptote? If so... (answered by KMST)

Find the horizontal and vertical asymptotes of the following. Type �none� if the function (answered by stanbon,MathLover1)

Find the equations for the horizontal and vertical asymptotes of the following. Type... (answered by stanbon)