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Find the domain of f(x)=1/(sqrt(x-|x|))...

Find the domain of `f(x)=1/(sqrt(x-|x|))`

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Two friends A & B were discussing about domain of greatest integer function y=[x] ,then A said that domain of [x] is R (set of real numbers).Then B expressed that he has doubt in finding the domain of f(x)=(1)/(sqrt([x]-x)) . Then domain of f(x)=(1)/(sqrt([x]-x)) is