SOLUTION: Please help me solve this equation - I'm looking to find any asymptotes and holes in the graph of a rational function below: f(x) = (x^2 + 2x + 1)/(2x^2 - x - 3)

Algebra ->  Rational-functions -> SOLUTION: Please help me solve this equation - I'm looking to find any asymptotes and holes in the graph of a rational function below: f(x) = (x^2 + 2x + 1)/(2x^2 - x - 3)       Log On


   

Question 1104601: Please help me solve this equation - I'm looking to find any asymptotes and holes in the graph of a rational function below:
f(x) =
(x^2 + 2x + 1)/(2x^2 - x - 3)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I'm looking to find any asymptotes and holes in the graph of a rational function below:
f(x) = (x^2 + 2x + 1)/(2x^2 - x - 3)
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Factor to get:
f(x) = [(x+1)^2]/[(2x-3)(x+1)]
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When 2x-3 = 0, x = 3/2 is a vertical asymptote.
When x+1 = 0, x = -1 is a hole.
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Cheers,
Stan H.
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