1.

If \[f(x)=\sqrt{3\left| x \right|-x-2}\] and \[g(x)=sinx,\] then domain of definition of fog (x) is

A. \[\left\{ 2n\pi +\frac{\pi }{2} \right\},n\in I\]
B. \[\underset{n\in I}{\mathop{\bigcup }}\,\]\[\left( 2n\pi +\frac{7\pi }{6},2n\pi +\frac{11\pi }{6} \right)\]
C. \[\left( 2n\pi +\frac{7\pi }{6} \right),n\in I\]
D. \[\{(4m+1)\frac{\pi }{2}:m\in I\}\underset{n\in I}{\mathop{\bigcup }}\,\left[ \left( 2n\pi +\frac{7\pi }{6},2n\pi +\frac{11\pi }{6} \right) \right]\]
Answer» E.


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