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 1067666: 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) = (( 3-2x )( x+3 ))/(( 2+x )( 3-x^2 ))

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Degree of numerator will be 2 and degree of denominator will be 3. You would expect a horizontal asymptote if both of these degrees are the same, but your function is not that way. Your function f DOES approach 0 for extreme x values, so

y=0 is horizontal asymptote.