(Solved): Is the function given by g(x)={21x+3,x+9,forx<4forx>4 continuous at x ...

Is the function given by $$g(x)=\{\begin{array}{ll}\frac{1}{2}x+3,& \text{ for }x<4\\ ?x+9,& \text{ for }x>4\end{array}$$ continuous at $$x=4$$ ? Why or why not? Select all that apply. A. The function is continuous at $$x=4$$ because $$\underset{x?4}{\lim }g(x)$$ exists. B. The function is continuous at $$x=4$$ because $$g(4)$$ exists. C. The function is not continuous at $$x=4$$ because $$\underset{x?4}{\lim }g(x)$$ does not exist. D. The function is continuous at $$x=4$$ because $$\underset{x?4}{\lim }g(x)$$ is equal to $$g(4)$$. E. The function is not continuous at $$x=4$$ because $$g(4)$$ does not exist.