Suppose g: A B and f: B C where A = {1,2,3,4}, B =...

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Suppose g: A → B and f: B → C where A = {1,2,3,4}, B = {a,b,c}, C = {2,8, 10}, and g and f are defined by g = {(1, b), (2, a), (3, b), (4, a)} and f = {(a, 8), (b, 10), (C, 2)}. 1) Find fog. 2) Find f-¹. 3) Find fo f-¹. 4) Explain why g-¹ is not a function. Suppose g: A → B and f: B → C where A = {1,2,3,4}, B = {a,b,c}, C = {2,8, 10}, and g and f are defined by g = {(1, b), (2, a), (3, b), (4, a)} and f = {(a, 8), (b, 10), (C, 2)}. 1) Find fog. 2) Find f-¹. 3) Find fo f-¹. 4) Explain why g-¹ is not a function.