SOLUTION: Hello, I need help with this problem: Find the horizontal and vertical asymptotes of the graph of f(x)= (2x^2+3)/(x^2-x-20) Thank you very much.

Algebra ->  Rational-functions -> SOLUTION: Hello, I need help with this problem: Find the horizontal and vertical asymptotes of the graph of f(x)= (2x^2+3)/(x^2-x-20) Thank you very much.      Log On


   

Question 448582: Hello,
I need help with this problem:
Find the horizontal and vertical asymptotes of the graph of
f(x)= (2x^2+3)/(x^2-x-20)

Thank you very much.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the horizontal and vertical asymptotes of the graph of
f(x)= (2x^2+3)/(x^2-x-20)
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Factor:
f(x) = (2x^2+3)/[(x-5)(x+4)]
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Vertical asymptotes where the denominator is zero.
VA's at x = 5 and at x = -4
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Horizontal asymptote where x goes to + or - infinity.
HA at y = 2x^2/x^2 = 2/1 = 2
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Cheers,
Stan H.
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