3. The function \(g ( x )\) is defined as follows:
$$g ( x ) = e ^ { \sin \left( x ^ { \circ } \right) } , - 90 \leq x \leq 90$$
- Find \(g ^ { - 1 } ( x )\), stating its domain.
- Sketch \(y = g ^ { - 1 } ( x )\) on the axes provided below, being sure to label all key points.
\includegraphics[max width=\textwidth, alt={}, center]{4c649001-3816-4cfa-9418-e3e427df1eb5-07_1524_1591_459_342}