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

Find the inverse function $\mathrm { f } ^ { - 1 }$ of the function f.
- $$f ( x ) = - 7 \cos ( 4 x )$$

A) $f ^ { - 1 } ( x ) = \frac { 1 } { 4 } \cos ^ { - 1 } \left( \frac { x } { 7 } \right)$
B) $f ^ { - 1 } ( x ) = - 7 \cos ^ { - 1 } ( 4 x )$
C) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 7 } \cos ^ { - 1 } \left( \frac { \mathrm { x } } { 4 } \right)$
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = - \frac { 1 } { 4 } \cos ^ { - 1 } \left( \frac { \mathrm { x } } { 7 } \right)$

Correct Answer:

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