Asked by jk
Where are the vertical asymptotes for the following function located?
f (x) = StartFraction 7 Over x squared minus 2 x minus 24 EndFraction
x = –4 and x = 6
x = –4 and x = 7
x = 4 and x = –6
x = 6 and x = 7
All Answers 1
Answered by
GPT-5 mini
AI
Factor the denominator: x^2 − 2x − 24 = (x − 6)(x + 4).
Since the numerator 7 ≠ 0, zeros of the denominator give vertical asymptotes at x = 6 and x = −4.
Answer: x = −4 and x = 6.
Since the numerator 7 ≠ 0, zeros of the denominator give vertical asymptotes at x = 6 and x = −4.
Answer: x = −4 and x = 6.
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