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Question
Write the domain of the real function
`f (x) = sqrtx - [x] .`
Solution
[x] is the greatest integral function.
\[So, 0\leq x - \left[ x \right] < 1\]
\[ \Rightarrow \sqrt{x - \left[ x \right] } \text{ exists for everyx} \in R . \]
\[\ \text{Rightarrow Domain }=R\]
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