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Find the Inverse Function F-1 of the Function F f(x)=4tan⁡(9x)f ( x ) = 4 \tan ( 9 x )

Question 63

Multiple Choice

Find the inverse function f-1 of the function f.
- f(x) =4tan⁡(9x) f ( x ) = 4 \tan ( 9 x )


A) f−1(x) =14tan⁡−1(x9) f ^ { - 1 } ( x ) = \frac { 1 } { 4 } \tan ^ { - 1 } \left( \frac { x } { 9 } \right)
B) f−1(x) =14tan⁡(9x) f ^ { - 1 } ( x ) = \frac { 1 } { 4 \tan ( 9 x ) }
C) f−1(x) =4tan⁡−1(9x) f ^ { - 1 } ( x ) = 4 \tan ^ { - 1 } ( 9 x )
D) f−1(x) =19tan⁡−1(x4) \mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 9 } \tan ^ { - 1 } \left( \frac { \mathrm { x } } { 4 } \right)

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