SOLUTION: {{{f(x) = (3x-8)/(x^2-7)}}} what are vertical asymptotes? I think there should be 2, one at {{{x = sqrt (7)}}} and {{{x = -sqrt (7)}}} but it doesn't appear that way on my calcula

Algebra ->  Functions -> SOLUTION: {{{f(x) = (3x-8)/(x^2-7)}}} what are vertical asymptotes? I think there should be 2, one at {{{x = sqrt (7)}}} and {{{x = -sqrt (7)}}} but it doesn't appear that way on my calcula      Log On


   



Question 843958: f%28x%29+=+%283x-8%29%2F%28x%5E2-7%29 what are vertical asymptotes? I think there should be 2, one at x+=+sqrt+%287%29 and x+=+-sqrt+%287%29 but it doesn't appear that way on my calculator.
Thank you.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Your calculator may have the same issue as this graphing utility.
The numerator has a zero at x=8/3=2.67 and the positive square root of 7 is 2.65 so it throws off the calculation and almost looks like they cancel out.
But you are correct, there is a definite asymptote at both locations.
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+graph%28+300%2C+300%2C+-5%2C5%2C-5%2C5%2C+%283x-8%29%2F%28x%5E2-7%29%29+