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The domain of the function
$f (x) = \frac{\sin^{- 1} (x - 3)}{\sqrt{9 - x^{2}}}$ is

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Correct option is B

−1≤x−3≤1 and 9−x2>0⇒ 2≤x≤4 and −3

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The domain of the functionf(x)=sin−1⁡(x−3)9−x2 is

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The domain of the function
$f (x) = \frac{\sin^{- 1} (x - 3)}{\sqrt{9 - x^{2}}}$ is