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Write the Domain of the Real Function `F (X) = Sqrtx - [X] .`

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प्रश्न

Write the domain of the real function

`f (x) = sqrtx - [x] .`

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उत्तर

[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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अध्याय 2: Functions - Exercise 2.5 [पृष्ठ ७४]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 2 Functions
Exercise 2.5 | Q 28 | पृष्ठ ७४

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