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Write the domain and range of function f...

Write the domain and range of function `f(x)` given by `f(x)=sqrt([x]-x)`.

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`x=[x]+{x}`
`[x]-x` and `0<={x}<1`
`-{x}` and `0>=-{x}>1`
Domain of `f(x)` is every real number.
Range `f(x)=(0, 1)`
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