A) [1, 9]
B) [?1, 9]
C) [?9, 1]
D) [?9, ?1]
Correct Answer: A
Solution :
\[y={{\sin }^{-1}}\left[ {{\log }_{3}}\left( \frac{x}{3} \right) \right]\] Þ \[-1\le {{\log }_{3}}\left( \frac{x}{3} \right)\le 1\] Þ \[\frac{1}{3}\le \frac{x}{3}\le 3\] Þ \[1\le x\le 9\] Þ \[x\in [1,\,9]\].
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