question_answer

The domain of the function \[f(x)=\frac{si{{n}^{-1}}(x-3)}{\sqrt{9-{{x}^{2}}}}\]is

A) [2, 3]  

B)                        [2, 3)     

C)        [1, 2]     

D)        [1, 2)

Correct Answer: B

Solution :

The functionwill be defined, if (I)           (II)          From relations (I) and (II), we get Hence, domain of the given function is [2, 3).