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--to-one o? [ Se

--to-one o? [ Se

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.3: Properties Of Composite Mappings (optional)
Problem 12E: Let f:AB and g:BA. Prove that f is one-to-one and onto if fg is one to-one and gf onto.
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Given is a function f : A → B with the set A = {1, 2, 3, 4, 5} and f(x) = x + 5. Answer the following questions: a) If set B = N, is the function f one-to-one? [ Select] b) If set B = N, is the function f onto? [ Select ] c) For what set B would the function f be a bijection? [ Select] >
Transcribed Image Text:Given is a function f : A → B with the set A = {1, 2, 3, 4, 5} and f(x) = x + 5. Answer the following questions: a) If set B = N, is the function f one-to-one? [ Select] b) If set B = N, is the function f onto? [ Select ] c) For what set B would the function f be a bijection? [ Select] >
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