SOLUTION: Find all vertical asymptotes of the rational function. (Enter your answers as a comma-separated list.) F(x) =(x2 + 11)/(6x2 − 10x − 24)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all vertical asymptotes of the rational function. (Enter your answers as a comma-separated list.) F(x) =(x2 + 11)/(6x2 − 10x − 24)       Log On


   

Question 745733: Find all vertical asymptotes of the rational function. (Enter your answers as a comma-separated list.)
F(x) =(x2 + 11)/(6x2 − 10x − 24)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find all vertical asymptotes of the rational function. (Enter your answers as a comma-separated list.)
F(x) =(x2 + 11)/(6x2 − 10x − 24)
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Solve: 6x^2-10x-24 = 0
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2(3x^2-5x-12) = 0
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3(3x^2 -9x+4x -12) = 0
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3(3x(x-3)+4(x-3)) = 0
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3[(x-3)(3x+4)] = 0
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x = 3 or x = -4/3
There are vertical asymptotes at each of those x values.
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Cheers,
Stan H.
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