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Write the domain of the real function...

Write the domain of the real function `f(x)=sqrt(x-[x])` .

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`f(x)=sqrt{x-[x]} ldots ldots . .[text { Given }]`

The domain will be real only if `{x}-[{x}] geq 0`

`Rightarrow` Domain of `f=x forall_{x} in R`

Since, `f(x)=x-[x]=x`. for all `x in R`

`therefore` Domain of `f=R`

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