Question:
Write the domain of the real function $f(x)=\sqrt{x-[x]}$.
Solution:
$[\mathrm{x}]$ is the greatest integral function.
So, $0 \leq x-[x]<1$
$\Rightarrow \sqrt{x-[x]}$ exists for every $x \in R$.
$\Rightarrow$ Domain $=R$
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