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Given the function: Identify the vertical asymptotes. A. x = -8, -5 B. x = -1 C. x = -8, -5 D. x = 1

6. Given the function:
Identify the vertical asymptotes.
A. x = -8, -5
B. x = -1
C. x = -8, -5
D. x = 1

Answer

The function given is f(x) = (x - 1) / ((x + 8)(x - 5)).

Vertical asymptotes occur where the denominator is zero and the numerator is not zero.

  1. Set the denominator equal to zero: (x + 8)(x - 5) = 0.
  2. Solve for x: x + 8 = 0 or x - 5 = 0, which gives x = -8 or x = 5.

Therefore, the vertical asymptotes are at x = -8 and x = 5.

The correct answer is C. x = -8, -5.

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