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2. Let A = {a,b,c}, B = {1,2,3}, C = {x,y}. You are given functions f: A B and g: B → C. (a) Is f injective? (b) Is f surjective? (c) Is g injective? (d) Is g surjective? (e) Is g of surjective? f = {(a, 1), (b,3), (c,2)} g = {(1, x), (2, y), (3, x)}

2. Let A = {a,b,c}, B = {1,2,3}, C = {x,y}. You are given functions f: A B and g: B → C. (a) Is f injective? (b) Is f surjective? (c) Is g injective? (d) Is g surjective? (e) Is g of surjective? f = {(a, 1), (b,3), (c,2)} g = {(1, x), (2, y), (3, x)}

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Discrete Mathematics
2. Let A = {a,b,c}, B = {1,2,3}, C = {x,y}. You are given functions f: A B and g: B → C. (a) Is f injective? (b) Is f surjective? (c) Is g injective? (d) Is g surjective? (e) Is gof surjective? f = {(a, 1), (b,3), (c, 2)} g = {(1, x), (2, y), (3, x)}
Transcribed Image Text:2. Let A = {a,b,c}, B = {1,2,3}, C = {x,y}. You are given functions f: A B and g: B → C. (a) Is f injective? (b) Is f surjective? (c) Is g injective? (d) Is g surjective? (e) Is gof surjective? f = {(a, 1), (b,3), (c, 2)} g = {(1, x), (2, y), (3, x)}
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