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

question 238

Multiple Choice

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) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 9 } \tan ^ { - 1 } \left( \frac { \mathrm { x } } { 4 } \right)\)

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Definitions:

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Refers to Stanley Milgram, a psychologist known for his experiments on obedience to authority figures.

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The act of following orders or directions from an authority figure, often studied in psychology to understand social influence.

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A state of emotional suffering typically characterized by feelings of anxiety, depression, or grief.