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

Let `g(x) = f(x) + f(1-x) and f''(x) gt 0, AA x in (0, 1)`. Then g(x) a)monotonically decreases in (0, 1). b)monotonically increases in (0, 1). c)non-monotonic and increases in (0, 1/2). d)non-monotonic and decreases in (0, 1/2).

A

monotonically decreases in (0, 1).

B

monotonically increases in (0, 1).

C

non-monotonic and increases in (0, 1/2).

D

non-monotonic and decreases in (0, 1/2).

Text Solution

Verified by Experts

The correct Answer is:
D
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