The domain of the function f(x) = sin⁻¹(3x) is:
The domain of the function f(x) = sin⁻¹(3x) is:
- A. [-1, 1]
- B. [-1/3, 1/3]
- C. (-1/3, 1/3)
- D. [-3, 3]
Answer: B) [-1/3, 1/3]
Explanation: For sin⁻¹(y), y must be in [-1, 1]. So, −1 ≤ 3x ≤ 1, which gives −1/3 ≤ x ≤ 1/3.
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