Find the Inverse Function F-1 of the Function F $$f ( x ) = 3 \sin x - 2$$

Multiple Choice

Find the inverse function f-1 of the function f.
- $$f ( x ) = 3 \sin x - 2$$

A) $f ^ { - 1 } ( x ) = 3 \sin ^ { - 1 } x - 2$
B) $f ^ { - 1 } ( x ) = \sin ^ { - 1 } \left( \frac { x + 2 } { 3 } \right)$
C) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \cos \left( \frac { \mathrm { x } + 2 } { 3 } \right)$
D) $f ^ { - 1 } ( x ) = \sin ^ { - 1 } \left( \frac { x + 3 } { 2 } \right)$