A) \[(-\infty ,\,\,0)\]
B) \[(+\infty ,\,\,0)\]
C) \[(-\infty ,\,\,-1)\]
D) \[(-\infty ,\,\,\infty )\]
Correct Answer: A
Solution :
Given, \[y=\frac{1}{\sqrt{|x|-x}}\] When \[x\ge 0\] \[y=\frac{1}{\sqrt{x-x}}=\infty \] (not defined) When \[x<0\] \[y=\frac{1}{\sqrt{-x-x}}=\frac{1}{\sqrt{-2x}}\] \[\therefore \]Given function is defined for every negative values of\[x\]. \[\therefore \]Required domain is\[(-\infty ,\,\,0)\].You need to login to perform this action.
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