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(a) If



\(f(x) = \frac{2x-8}{x^2 -2x - 3} \qquad\text{ and }\qquad g(x) = \frac{3x+9}{2x-4}\)find the sum of the values of  where the vertical asymptotes of  are located.

 

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

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

 Jan 22, 2019
 #1
avatar+107520 
+3

I'll give you a hint.

The asympotes for f(x) is where    x^2-2x-3=0

This is because you cannot divide by 0.

 Jan 22, 2019
 #3
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a) Find the sum of the values of  where the vertical asymptotes of  are located.

 Jan 22, 2019
 #4
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The original question asked to find asymptots for f(g(x)) . Thus after finding the asympoths for f(z),  one needs to compute for which values of x g(x)= -1 and g(x) = 3.

Guest Jan 31, 2019

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