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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)=x2/kx^22 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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