Let A = {2, 4, 8}

Question

0. Let A = {2, 4, 8}, B = {3, 6, 12}, C = {w, x, y, z}, the function f : A→B be given by the rule f = {(2, 3), (4, 6), (8, 12)}, and the function g : B→C be given by the rule g = {(3, z), (6, z), (12, w)}. a) Is f onto? Explain. (3 pts.) b) Is g one-to-one? Explain. (3 pts.) c) Find g∘f. (3 pts.) 21. [Bonus] Let G be a complete

Answer 1

Yes, f is onto because every element in the domain gets mapped

G is not one-to-one because of (3,z) and (6,z); two elements in

the domain are mapped to z