Where are the asymptotes for the following function located? f of x is equal to the fraction with numerator 7 and denominator x squared minus 2 x minus 24

Vertical asymptotes occur where the denominator is zero, as long as the numerator does not also equal zero. Factor the denominator: x² − 2x − 24 = (x − 6)(x + 4), so it is zero at x = 6 and x = −4. The numerator is 7, so neither factor cancels; the asymptotes are x = −4 and x = 6, choice C.

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