A) \[(0,\infty )\]
B) \[(-\infty ,0)\]
C) \[(-\infty ,\infty )-\{0\}\]
D) \[(-\infty ,\infty )\]
Correct Answer: B
Solution :
[b] \[f(x)=\frac{1}{\sqrt{\left| x \right|-x}},\] define if \[\left| x \right|-x>0\] \[\Rightarrow \left| x \right|>x,\Rightarrow x<0\] Hence domain of \[f(x)\] is \[(-\infty ,0)\]
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