Answer: (-∞, -1) ∪ (1, ∞).
- A (-∞, -1) ∪ (1, ∞)
- B (-1, 1)
- C [-1, 1]
- D All reals except 0
Correct answer: A. (-∞, -1) ∪ (1, ∞)
Explanation: Logarithm requires argument > 0: x²-1 > 0 ⟹ x² > 1. Solve: |x| > 1, which means x > 1 or x < -1. In interval notation: (-∞,-1)∪(1,∞). Note x=±1 excluded (log of 0 undefined). Answer: Domain = (-∞,-1) ∪ (1,∞)
Concept context
Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.