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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)}. a.

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)}. a. Determine whether and are injective, bijective, surjective. b. Find - f o g c. Find f ^ -1 d. Find f o f ^ -1 e. Find g ^-1

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