Find domain and composition of function by interval notation


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))

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Mathematics: Find domain and composition of function by interval notation
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