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What is the horizontal asymptote as x approaches negative infinity of f(g(x))

if \(f(x) = \frac{2x-8}{x^2 -2x - 3} \qquad\text{ and }\qquad g(x) = \frac{3x+9}{2x-4}\)?

(Don't forget that an asymptote is a LINE, and not a NUMBER!)

 Jun 2, 2020
 #1
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As follows:

 


I should have written that the horizontal asymptote is y = 4/3 of course, not x!

 Jun 2, 2020
edited by Alan  Jun 2, 2020
 #2
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thank you so much!!

Guest Jun 3, 2020

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