Unformatted text preview: A to the set B and let f be a function from the set B to the set C . Let h be composition of f and g , i.e., h = f ◦ g . 1. Prove that if h is onetoone, then g must be onetoone. Give an example to show that f is not necessarily onetoone. 2. Prove that if h is onto, then f is onto. Give an example to show that g is not necessarily onto. Other problems : § 2.4/ 2, 3, 4, 7, 9, 10, 13, 14, 15, 18 § 4.1/ 6, 9, 13, 18, 22, 25...
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 Spring '08
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 Math, Sets, Natural number, Strong Induction, discrete mathematics assignment, mathematical induction principle, cardinality countable Principle

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