Find the Inverse Function $\mathrm { f } ^ { - 1 }$

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

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