Let `f\'\'(x)gt0` and `phi(x)=f(x)+f(2-x),xin(0,2)` be a function then the function `phi(x)` is (A) increasing in (0,1) and decreasing (1,2) (B) decreasing in (0.1) and increasing (1,2) (C) increasing in (0.2) (D) decreasing in (0,2)

Options

A. increasing on `(0,1)` and decreasing on `(1,2)`.
B. decreasing on `(0,2)`
C. decresing on `(0,1)` and increasing on `(1,2)`
D. increasing on `(0,2)`

Answer

B