For sets A = {-3, -2,…,3} and B = {0, 1,…,10} B’ = {0, 1, 4, 5, 8, 9} and C = {1, 2,…,10}, let f : A → B and g : B’ → C be functions defined by f(n) = n2 for all n ∈ A and g(n) = n + 1 for all n ∈ B’.
a. Show that the composition g o f : A → C is defined
b. For n A, determine (g o f)(n)
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