The domain of $f(x) = \sin^{-1}\left(\log_3\frac{x}{3}\right)$ is:
Step-by-Step Solution
Key Concept: For $\sin^{-1}$ to be defined, need $\log_3(x/3) \in [-1, 1]$. Convert both inequalities to bounds on $x/3$, then on $x$.
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Correct Answer: (1)