SOLUTION: find the vertical asymtotes, f any, of the graph of the rational function. f(x)=x/x^2+4 a. x=-4,x=4 b. x=4 c. x=-4 d. no vertical asymptote

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: find the vertical asymtotes, f any, of the graph of the rational function. f(x)=x/x^2+4 a. x=-4,x=4 b. x=4 c. x=-4 d. no vertical asymptote      Log On


   

Question 155331: find the vertical asymtotes, f any, of the graph of the rational function.
f(x)=x/x^2+4
a. x=-4,x=4
b. x=4
c. x=-4
d. no vertical asymptote
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the vertical asymtotes, f any, of the graph of the rational function.
f(x)=x/x^2+4
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You have possible vertical asymptotes when the denominator is zero.
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So, solve x^2+4 = 0
x^2 = -4
x = +-2i and is not a Real Number.
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So f has no vertical asymptotes
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Cheers,
Stan H.