Let f(x)=x/(x-2) and g(x)=sqrt(3-x). Find following. Use interval notation where suitable.
A) The domain of f(x)
B) The domain of g(x)
C) The composition f(g(x))
D) The domain of f(g(x)) (Illustrate all suitable work)
E) The composition f(f(x)) (simplify compound fraction)
F) The domain of f(f(x))