. Consider the functions f : A → B and g : B → C. a) If f and g are both injective, show that g o f. b) Suppose that gof is injective. Are f and g necessarily injective?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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1. Consider the functions f : A → B and g : B → C.
(a) If f and g are both injective, show that g o f.
(b) Suppose that g o f is injective. Are f and g necessarily injective?
Transcribed Image Text:1. Consider the functions f : A → B and g : B → C. (a) If f and g are both injective, show that g o f. (b) Suppose that g o f is injective. Are f and g necessarily injective?
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