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The domain of f(x) $= \sin^{- 1} [x] (where [ ] represents the greatest integer function).$

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−1,2

(-1,2)

[-1,2]

[1,2]

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Correct option is A

f(x)=sin−1⁡[x] is defined if −1≤[x]≤1 or [x]=−1,0,1 or x∈[−1,2) So, range is sin−1⁡(−1),sin−1⁡0,sin−1⁡1≡{−π2,0,π2}

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The domain of f(x) =sin−1⁡[x] (where [ ] represents the greatest integer function).

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The domain of f(x) $= \sin^{- 1} [x] (where [ ] represents the greatest integer function).$