Consider the functions $$f(x)=\begin{cases}3 && 0\leq x \\ 0 &&x<0 \end{cases}$$ and $$g(x)=\begin{cases}0 && 0\leq x \\ 3 && x<0 \end{cases}$$ In each part, is the given function continuous at $x=0$. Enter "yes" or "no".

(a) $f(x)$

(b) $g(x)$

(c) $f(-x)$

(d) $|g(x)|$

(e) $f(x)g(x)$

(f) $g(f(x))$

(e) $f(x)+g(x)$