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August 10th, 2017, 06:00 PM   #1
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Rational function

I need help

Find the value of k if f(x)=x-2/kx^2-2 has a vertical asymptote of -2.
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August 10th, 2017, 07:48 PM   #2
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I assume you mean

$f(x) = \dfrac{x - 2}{kx^2 - 2},$ but what you wrote means

$f(x) = x - \dfrac{2}{kx^2} - 2.$

A necessary condition for a rational function to have a vertical asymptote at some value of x is what?
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August 10th, 2017, 09:18 PM   #3
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What was originally posted means f(x) = x - (2/k)x² - 2, which doesn't have a vertical asymptote.
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