question_answer

Let \[g\,(x)=2f\left( \frac{x}{2} \right)+f(2-x)\] and \[f''\,(x)\,<0\forall x\,\in \] \[(0,2).\]Then g(x) increases in

A)  \[\left( \frac{1}{2},2 \right)\]      

B)  \[\left( \frac{4}{3},2 \right)\]

C) \[(0,2)\]                         

D)  \[\left( 0,\frac{4}{3} \right)\]