The domain of f(x) = √(sin⁻¹x) is:
The domain of f(x) = √(sin⁻¹x) is:
- A. [0, 1]
- B. [−1, 1]
- C. [0, π/2]
- D. (0, 1)
Answer: A) [0, 1]
Explanation: √(sin⁻¹x) is defined when sin⁻¹x ≥ 0 and x ∈ [−1, 1]. sin⁻¹x ≥ 0 ⇒ x ≥ 0, and x ≤ 1, so the domain is [0, 1].
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