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g(x) = 3x / [ x^2 + 2x - 3 ]. 6a: vertical asymptotes 6b: horizontal...

g(x) = 3x / [ x^2 + 2x - 3 ].

6a: vertical asymptotes

6b: horizontal asymptote

Math   Precalculus   
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Homework Answers

Answer #1

given

6a) vertical asymptotes

vertical asymptotes are obtained by equating denominator to zero

factoring

so vertical asymptotes are x=-3 and x=1

6b)

to find the horizontal asymptote compare the degree of numerator and denominator

here degreee of numerator is 1 and degree of denominator is 2

since the degree of denominator is higher than the degree of the numerator ,y=0 is the horizontal asymptote

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