A function g(x) is defined as g(x) = (1)...

A function g(x) is defined as `g(x) = (1)/(4) f(2x^(2) - 1) + (1)/(2) f(1- x^(2))` and f'(x) is an increasing function. Then g(x) is increasing in the interval

A

a) (-1, 1)

B

b) `(-sqrt((2)/(3)),0) uu (sqrt((2)/(3)), oo)`

C

c) `(-sqrt((2)/(3)),sqrt((2)/(3)))`

D

d) None of these

Verified by Experts

The correct Answer is:

B

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