A function g(x) is defined as g(x)=1/4f...

A function `g(x)` is defined as `g(x)=1/4f(2x^2-1)+1/2f(1-x^2)a n df(x)` is an increasing function. Then `g(x)` is increasing in the interval. `(-1,1)` `(-sqrt(2/3),0)uu(sqrt(2/3),oo)` `(-sqrt(2/3),sqrt(2/3))` (d) none of these

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