Find All Points of Discontinuity of the Function A) $x = 0 , x = 4$

Multiple Choice

Find all points of discontinuity of the function. $$g ( x ) = \left\{ \begin{aligned}x + 5 & \text { if } x < 0 \\3 x + 5 & \text { if } 0 \leq x < 4 \\x ^ { 2 } + 5 & \text { if } x \geq 4\end{aligned} \right.$$

A) $x = 0 , x = 4$
B) $x = 0$
C) $x = 0 , x = 4 , x = 6$
D) $x = 4$
E) The function is continuous everywhere.