f( x )= | x |+ x 3 x is defined for :

Mathematics · JEE Advanced · NTA ExamsSets, Relations and Functions

\(f(\mathrm{x})=\frac{\sqrt{|\tan \mathrm{x}|+\tan \mathrm{x}}}{\sqrt{3 \mathrm{x}}}\)is defined for :
  1. R+
  2. \(\mathrm{R}^{+}-\left\{\frac{1}{3}\right\}\)
  3. \(\mathrm{R}^{+}-\left\{\left.\mathrm{n} \pi+\frac{\pi}{2} \right\rvert\, \mathrm{n} \in \mathrm{~W}\right\}\)
  4. none of these

Answer

(C) R ^ + - . n + 2 n ~W

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