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Functions — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSFunctions2 Marks
Question
Write the domain of the real function $\text{f(x)}=\sqrt{[\text{x}]-\text{x}}.$
✓

Answer

[x] is the greatest integral function.
Therefore, $0\leq\text{x}-[\text{x}]<1$
$\Rightarrow\ \sqrt{\text{x}-[\text{x}]}$ exists for every $\text{x}\in\text{R}$
⇒ Domain = R

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