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Let g(x)=f(x)+f(1-x) and f''(x)<0, when ...

Let `g(x)=f(x)+f(1-x)` and `f''(x)<0`, when `x in (0,1)`. Then `f(x)` is

A

a) increasing on `(0,(1)/(2))` and decreasing on `((1)/(2),1)`

B

b) increasing on `((1)/(2),1)` and decreasing on `(0,(1)/(2))`

C

c) increasing on `(0,1)`

D

d) decreasing on `(0,1)`

Text Solution

Verified by Experts

The correct Answer is:
B
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