Question$$f(x)=\left\{\begin{array}{ll} c+c x-x^{2} & \text { for } x<3 \\ 7 & \text { for } x=3 \\ 2 c+\frac{3}{x-2} & \text { for } x>3 \end{array}\right.$$
Let $f$ be the function defined above. For what value of $c$, if any, is $f$ continuous at $x=3$ ? (A) 2 (B) 4 (C) 6
D There is no such C .