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

Multiple Choice

Find the inverse function $\mathrm { f } ^ { - 1 }$ of the function f.
- $$f ( x ) = - \sin ( x + 6 ) - 5$$

A) $f ^ { - 1 } ( x ) = - \sin ^ { - 1 } ( x - 5 ) + 6$
B) $f ^ { - 1 } ( x ) = - \sin ^ { - 1 } ( x + 6 ) - 5$
C) $f ^ { - 1 } ( x ) = - \sin ^ { - 1 } ( x + 5 ) - 6$
D) $f ^ { - 1 } ( x ) = \sin ^ { - 1 } ( x + 5 ) - 6$