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$The domain of f (x) = \sin^{- 1} (\frac{x^{2}}{2}) is$

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-2,2

−2,2

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Correct option is A

f(x)=sin−1⁡x22 is defined if −1≤x22≤1 or −2≤x2≤2 or 0≤x2≤2 (As x2 cannot be negative) or −2≤x≤2 Therefore, the domain of f(x) is [−2,2] .

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The domain of f(x)=sin−1⁡x22 is

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$The domain of f (x) = \sin^{- 1} (\frac{x^{2}}{2}) is$