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

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

A

increasig on `(0,(1)/(2))` and decreasing on `((1)/(2),1)`

B

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

C

increasing on (0,1)

D

decreasing on (0,1)

Text Solution

Verified by Experts

The correct Answer is:
B
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