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If composite function f(1)(f(2)(f(3)(......

If composite function `f_(1)(f_(2)(f_(3)(...((f_(n))))n` times is an increasing function and if r of `f_(1)` s are decreasing function while rest are increasing , then the maximum value of `r(n-r)` is

A

`(n^(2)-1)/(4)` , when n is an even number

B

`(n^(2))/(4),` when n is an odd number

C

`(n^(2)-1)/(4)` , when n is an odd number

D

`(n^(2))/(4)` , when n is an even number

Text Solution

Verified by Experts

The correct Answer is:
C, D
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