The functions f and g are defined as $f(x) = \frac{4}{x+3}$, $g(x) = \frac{1}{2-x}$
a) Find the domain of f, g, f+g, f-g, fg, $\frac{f}{g}$, and $\frac{g}{f}$.
b) Find $(f+g)(x)$, $(f-g)(x)$, $(fg)(x)$, $(ff)(x)$, $(\frac{f}{g})(x)$, and $(\frac{g}{f})(x)$
a) The domain of f is
(Type your answer in interval notation.)