The number of integral values in the domain of f(x) = sin⁻¹(x/2) + √(9−x²) is:

The number of integral values in the domain of f(x) = sin⁻¹(x/2) + √(9−x²) is:

• A. 4
• B. 5
• C. 6
• D. 7

Answer: B) 5

Explanation: Domain of sin⁻¹(x/2): −1 ≤ x/2 ≤ 1 → −2 ≤ x ≤ 2. Domain of √(9−x²): −3 ≤ x ≤ 3. Intersection: [−2, 2]. Integers in [−2,2] are −2, −1, 0, 1, 2, total 5.