Identify the vertical asymptotes of the following rational function:
f(x) = (x + 8) / ((x - 1)(x + 9))
a. x = 8
b. x = 9, -1
c. x = 1, -9
d. x = -8

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Identify the vertical asymptotes of the following rational function: f(x) = (x + 8) / ((x - 1)(x + 9)) a. x = 8 b. x = 9, -1 c. x = 1, -9 d. x = -8

SnapAndSolve AI · Accepted Answer

The vertical asymptotes of a rational function occur where the denominator is equal to zero and the numerator is not zero at those points. The denominator is (x - 1)(x + 9). Setting each factor to zero gives x - 1 = 0 and x + 9 = 0, which results in x = 1 and x = -9. Therefore, the vertical asymptotes are at x = 1 and x = -9. Correct answer: c. x = 1, -9

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Identify the vertical asymptotes of the following rational function: f(x) = (x + 8) / ((x - 1)(x + 9)) a. x...

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