Question

The domain of the function f(x)=fracsin⁻1(x-3)√(9-x²) is

• A. \([1,2]\)
• B. \([2,3)\)
• C. \([1,2]\)
• D. [2,3]

Hint:

Check each function in numerator and denominator separately for domain.

Answer 1

The Correct Option is B

\( -1 \le x - 3 \le 1 \Rightarrow 2 \le x \le 4 \)
\( 9 - x^2 > 0 \Rightarrow -3 < x < 3 \)
Intersection gives \( x \in [2, 3) \).