SOLUTION: vertical asymptotes are? h(x) = x^2-100/(x-9)(x+2) horizontal asymptotes are? f(x) = (x-7)(x+5)/x^2-1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: vertical asymptotes are? h(x) = x^2-100/(x-9)(x+2) horizontal asymptotes are? f(x) = (x-7)(x+5)/x^2-1       Log On


   



Question 524678: vertical asymptotes are? h(x) = x^2-100/(x-9)(x+2)
horizontal asymptotes are? f(x) = (x-7)(x+5)/x^2-1

Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The equations of any vertical asymptotes are , where are the set of real number zeros of the denominator polynomial.

The equation of a horizontal asymptote for a rational function where the degree of the numerator polynomial is equal to the degree of the denominator polynomial is where is the lead coefficient of the numerator polynomial and is the lead coefficient of the denominator polynomial.

John

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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
vertical asymptotes are? h(x) = x^2-100/(x-9)(x+2)
VA's at x = 9 and at x = -2
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horizontal asymptotes are? f(x) = (x-7)(x+5)/x^2-1
HA at y = x^2/x^2 = 1
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Cheers,
Stan H.