The domain of `f(x)=(1)/([x]-x)` is "

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

Find the domain of f(x)=(1)/(x-|x|) , when x in R

The domain of f(x)=(1)/(sqrt(|x|-x)) is

The domain of f(x)=(1)/(sqrt(x+|x|)) is

The domain of f(x)=(1)/(sqrt(x+|x|)) is

The domain of f(x)=sqrt((x-1)(3-x)) is

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

The domain of f(x)=((x-1)/(x-2))^(3x+4) is

Find the domain of f(x)=(1)/(sqrt([x]^(2)-[x]-2))

The domain of f(x)=(1)/(|sin x|+sin x|)" is: