Let f be a differential function such that $f\left(x\right)=f\left(2-x\right) \mathrm{and} g\left(x\right)=f\left(1+x\right)$ then

• A

  g(x) is an odd function

• B

  g(x) is an even function

• C

  Graph f(x) is symmetrical about the line x = 1

• D

  $f\text{'}\left(1\right)=0$