A) \[\left( 0,1 \right)\]
B) \[(0,1]\]
C) \[\left[ 1,\infty \right)\]
D) \[(1,\infty )\]
Correct Answer: A
Solution :
[a] f is defined if- \[{{\log }_{1/2}}\left( 1+\frac{1}{4\sqrt{x}} \right)-1>0\] i.e., if \[{{\log }_{1/2}}\left( 1+\frac{1}{4\sqrt{x}} \right)<-1\] i.e., if \[\left( 1+\frac{1}{4\sqrt{x}} \right)>{{\left( \frac{1}{2} \right)}^{-1}}\] i.e., if \[\frac{1}{4\sqrt{x}}>1,\] i.e, \[4\sqrt{x}<1\] i.e. if \[0<x<1\]You need to login to perform this action.
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