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

Find the inverse function $\mathrm { f } ^ { - 1 }$ of the function f.
- $$f ( x ) = \cos ( x - 9 ) - 5$$

A) $f ^ { - 1 } ( x ) = \cos ^ { - 1 } ( x - 5 ) - 9$
B) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \cos ^ { - 1 } ( \mathrm { x } + 5 ) + 9$
C) $f ^ { - 1 } ( x ) = \cos ^ { - 1 } ( x + 9 ) + 5$
D) $f ^ { - 1 } ( x ) = \cos ^ { - 1 } ( x - 9 ) - 5$

Correct Answer:

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