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Domain of f(x)=sin^(-1)[2-4x^2], where [...

Domain of `f(x)=sin^(-1)[2-4x^2],` where [.] denotes the greatest integer function, is: `(a)[-(sqrt(3))/2,(sqrt(3))/2]-{0} ` (b) `[-(sqrt(3))/2,(sqrt(3))/2]` `(c)[-(sqrt(3))/2,(sqrt(3))/2)-{0}` (d) `(-(sqrt(3))/2,(sqrt(3))/2)-0`

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The correct Answer is:
(a)
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