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Relations and Functions — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSRelations and Functions2 Marks
Question
Find the domain of function given by:
$\text{f}\text{(x)}=\frac{1}{\sqrt{\text{x}+|\text{x}|}}$
✓

Answer

We have, $\text{f}\text{(x)}=\frac{1}{\sqrt{\text{x}+|\text{x}|}}$
If x > 0, x + |x| = x + x = 2x > 0
If x < 0, x + |x| = x -x = 0
Clearly, x = 0 is not possible.
$\therefore$ Domain of f = R+

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