Question

$y={\sin }^{-1}\left[{\log }_3\left(\frac{x}{3}\right)\right]\Rightarrow -1\le {\log }_3\left(\frac{x}{3}\right)\le 1$

Answer 1

$y={\sin }^{-1}\left[{\log }_3\left(\frac{x}{3}\right)\right]$

$-1\le {\log }_3\left(\frac{x}{3}\right)\le 1$

$\frac{1}{3}\le \left(\frac{x}{3}\right)\le 3$

$1\le x\le 9$