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

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[−1, 9]

[1, 9]

[−9, 1]

[3, 9]

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detailed solution

Correct option is B

The function f is defined only if −1≤log3⁡(x/3)≤1 This inequality is possible only if 1/3≤x/3≤3 i.e., 1≤x≤9

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The domain of the functionf(x)=sin−1⁡log3⁡x3 is

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