Question
Find the asymptotes of the following functions:
(i) (3x-4)/(2x+6)
(ii) (x²-2x-8)/(x-1)
Answer :
Word Count : 146
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For the function (f(x) = \frac{3x-4}{2x+6}), vertical asymptotes occur where the denominator is zero. Setting (2x + 6 = 0) gives (x = -3). For the horizontal asymptote, consider the degrees of the numerator and denominator. Both are first-degree polynomials, so the horizontal asymptote is the ratio of the leading coefficients: (\frac{3}{2}). Therefore, the asymptotes are (x =
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