A) \[(0,1)\]
B) \[(1,\infty )\]
C) \[(1,e)\]
D) \[(-\infty ,\infty )\]
Correct Answer: A
Solution :
[a] : The function\[\frac{1}{\sqrt{|f(x)|-f(x)}}\]will be defined, when\[|f(x)|>f(x)\] \[\Rightarrow \]\[f(x)<0\Rightarrow lo{{g}_{e}}x+{{\log }_{x}}e<0\] \[\Rightarrow \]\[\frac{{{(lo{{g}_{e}}x)}^{2}}+1}{{{\log }_{e}}x}<0\] \[\Rightarrow \]\[{{\log }_{e}}x<0\Rightarrow x<{{e}^{0}}\Rightarrow x<1\Rightarrow 0<x<1\]You need to login to perform this action.
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