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Let the set S={f(1),f(2),f(3),f(4)} of f...

Let the set `S={f_(1),f_(2),f_(3),f_(4)}` of four functions from `CC` (the set of all complex numbers) to itself, defined by `f_(1)(z)=z,f_(2)(z)=-z,f_(3)(z)=(1)/(z)andf_(4)(z)=-(1)/(z)` for all `zinCC` Construct the composition table for the composition of functions `(@)` defined on the set S.
Value of `f_(4)@f_(1)(z)` is ---

A

`f_1`

B

`f_2`

C

`f_3`

D

`f_4`

Text Solution

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The correct Answer is:
D
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