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hw8b - for f if g ◦ f = Id X and it is called a right...

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Math 300A&B Introduction to Mathematical Reasoning Fall 2009 Assignment #8: Due Friday, 12/4/09 (NEW DUE DATE) (CORRECTED VERSION) Part II: 4. Eccles, pages 113–114, Exercises 9.3, 9.5. 5. Let f : X Y be a function. A function g : Y X is called a left inverse
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Unformatted text preview: for f if g ◦ f = Id X , and it is called a right inverse for f if f ◦ g = Id Y . (a) If there exists a right inverse for f , prove that f is surjective. (b) If there exists a left inverse for f , prove that f is injective....
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