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# Asymptotes Help!!

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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
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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
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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