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 August 10th, 2017, 06:00 PM #1 Newbie   Joined: Aug 2017 From: canada Posts: 1 Thanks: 0 Rational function I need help Find the value of k if f(x)=x-2/kx^2-2 has a vertical asymptote of -2.
 August 10th, 2017, 07:48 PM #2 Senior Member   Joined: May 2016 From: USA Posts: 1,038 Thanks: 423 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?
 August 10th, 2017, 09:18 PM #3 Global Moderator   Joined: Dec 2006 Posts: 19,047 Thanks: 1618 What was originally posted means f(x) = x - (2/k)x² - 2, which doesn't have a vertical asymptote.

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