The functions f and g are defined by

Let h(x) and k(x) be the compositions f ° g(x) and g ° f(x) respectively. Determine h(x) and k(x). Is the composite function k(x) defined for all x in the domain of f(x)? If not, then for what part of the domain of f(x) is k(x) defined?

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f(x)=x-4 (x in [-20, 20]) 1/2 g(x) = x/ (x in [0, 200])