Question: Let A = B = {1, 2, 3} and C = {2, 3}. Consider the following mappings f : A B and g : C

Let A = B = {1, 2, 3} and C = {2, 3}. Consider the following mappings f : A B and g : C A with f (1) = 3, f (2) = 2, f (3) = 1 and g(2) = 1, g(3) = 2.

(a) Illustrate f , g, f g and g f by graphs if possible.

(b) Find the domains and the ranges of the given mappings and of the composite mappings.

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