The domain of f(x) = cos⁻¹(x² − 3) is:
The domain of f(x) = cos⁻¹(x² − 3) is:
- A. [-2, 2]
- B. [-√2, √2]
- C. [-2, -√2] ∪ [√2, 2]
- D. [2, ∞)
Answer: C) [-2, -√2] ∪ [√2, 2]
Explanation: −1 ≤ x² − 3 ≤ 1 gives 2 ≤ x² ≤ 4. Taking square roots, we get x in [-2, -√2] ∪ [√2, 2].
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