\[\boxed{\text{770\ (770).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ область\ определения\ g(x):\ \ \]
\[1 \leq x \leq 9;\]
\[область\ значений\ g(x):\ \ \]
\[1;4;9;6;5.\]
\[2)\ g(7) = 7² = 49 = 9,\ \ \]
\[g(3) = 3^{2} = 9,\ \ \]
\[g(1) = 1² = 1\]
\[g(9) = 9^{2} = 81 = 1,\ \ \]
\[g(4) = 4² = 16 = 6\]