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

Find the inverse function $\mathrm { f } ^ { - 1 }$ of the function f.
- $$f ( x ) = 4 \tan ( 9 x )$$

A) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 4 } \tan ^ { - 1 } \left( \frac { \mathrm { x } } { 9 } \right)$
B) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 4 \tan ( 9 \mathrm { x } ) }$
C) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = 4 \tan ^ { - 1 } ( 9 \mathrm { x } )$
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 9 } \tan ^ { - 1 } \left( \frac { \mathrm { x } } { 4 } \right)$

Correct Answer:

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