Question 154817: Find the vertical asymptotes, if any, of the graph of the rational function.
f(x) = __x____ (x overx(x-2))
x(x- 2)
a. x = 0 and x = -2
b. x = 0 and x = 2
c. x = 2
d. no vertical asymptote
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find the vertical asymptotes, if any, of the graph of the rational function.
f(x) = x/[x(x-2)]
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Vertical asymptotes occur when a denominator is 0 and the numerator is not 0.
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Your Problem:
x(x-2)=0
x = 0 or x = 2
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But when x = 0, the numerator is also 0 so no vertical asymptote at x = 0.
Only vertical asymptote is x=2
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cheers,
Stan H.
a. x = 0 and x = -2
b. x = 0 and x = 2
c. x = 2
d. no vertical asymptote
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