A) \[[-1,1]\]
B) \[[0,1]\]
C) \[[0,\infty ]\]
D) \[R\]
E) \[\left[ \frac{1}{3},3 \right]\]
Correct Answer: E
Solution :
For domain of \[{{\sin }^{-1}}\left( {{\log }_{3}}x \right)\] \[\therefore \] \[-1\le {{\log }_{3}}x\le 1\] \[\Rightarrow \] \[{{3}^{-1}}\le x\le 3\] \[\therefore \]Domain of\[{{\sin }^{-1}}({{\log }_{3}}x)=\left[ \frac{1}{3},3 \right]\]You need to login to perform this action.
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