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