A) \[(0,\,\,\infty )\]
B) \[(-\,\infty ,\,\,0)\]
C) \[\{0\}\]
D) \[\{\,\,\}\]
Correct Answer: D
Solution :
Given that, \[f(x)=\frac{1}{\sqrt{-x}}\] \[\therefore \] \[fof\,(x)=f(f(x))=f\left( \frac{1}{\sqrt{-x}} \right)\] \[\Rightarrow \] \[fof(x)=\frac{1}{\sqrt{-\frac{1}{\sqrt{-x}}}}\] Since \[\sqrt{-\frac{1}{\sqrt{-x}}}\] is an imaginary. Hence, no domain of fof (x) exist.You need to login to perform this action.
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