A) the set of all real numbers
B) the set of all positive real numbers
C) \[(-2,\,2)\]
D) \[[-2,\,2]\]
Correct Answer: C
Solution :
Given, \[f(x)=\frac{1}{\sqrt{4-{{x}^{2}}}}\] For domain of \[f(x),\sqrt{4-{{x}^{2}}}>0\] \[\Rightarrow \] \[4-{{x}^{2}}>0\] \[\Rightarrow \] \[{{x}^{2}}<4\] \[\Rightarrow \] \[x\le \pm 2\] \[\therefore \] Domain \[=(-2,2)\]You need to login to perform this action.
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