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

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detailed solution

Correct option is B

x2< 9 ⇒–3 < x < 3and –1 ≤ x - 3 ≤ 1⇒ 2≤ x< 3

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The domain of the function f(x) = sin-1x-39-x2

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