The function f(x) = (x - 1) / (x + 1) is:
The function f(x) = (x - 1) / (x + 1) is:
- A. Strictly decreasing for all x ≠ -1
- B. Constant
- C. Strictly increasing for all x ≠ -1
- D. Neither increasing nor decreasing
Answer: C) Strictly increasing for all x ≠ -1
Explanation: f'(x) = [(x+1)(1) - (x-1)(1)] / (x+1)² = 2 / (x+1)². Since 2 / (x+1)² > 0 for all x ≠ -1, it is strictly increasing.
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