SOLUTION: Find the horizontal asymptote, if any, of the graph of the rational function. g(x) = 6x^2 (6x^2 over 2x^2+1) 2x^2 + 1 a. y = 3 b. y =1/3 c. y = 0

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the horizontal asymptote, if any, of the graph of the rational function. g(x) = 6x^2 (6x^2 over 2x^2+1) 2x^2 + 1 a. y = 3 b. y =1/3 c. y = 0      Log On


   

Question 154819: Find the horizontal asymptote, if any, of the graph of the rational function.
g(x) = 6x^2 (6x^2 over 2x^2+1)
2x^2 + 1

a. y = 3
b. y =1/3
c. y = 0
d. no horizontal asymptote

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the horizontal asymptote, if any, of the graph of the rational function.
g(x) = (6x^2)/(2x^2+1)
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As x gets larger and larger g(x) takes on the value of 6x^2/2x^2
which is 3.
So the horizontal asymptote is y = 3
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Graph:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%286x%5E2%29%2F%282x%5E2%2B1%29%29
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Cheers,
Stan H.