question_answer

\[f(x)\,=2{{x}^{3}}-3{{x}^{2}}+1,\] \[g(x)=\left\{ \begin{align}   & \max imum\,f(x)\,0\le t\le  \\  & {{x}^{2}}+3x+7;2<x\le 3 \\ \end{align} \right.\]which statement is true?

A)  g (x) is continuous at x = 2           

B)  g (x) is discontinuous at x = 7.

C)  g (x) is discontinuous at x = 2        

D)  None of these