 # For each of the following mappings f : Z → Z , exhibit a right inverse of f with respect to mapping composition whenever one exists. a. f ( x ) = 2 x b. f ( x ) = 3 x c. f ( x ) = x + 2 d. f ( x ) = 1 − x e. f ( x ) = x 3 f. f ( x ) = x 2 g. f ( x ) = { x if x is even 2 x − 1 if x is odd h. f ( x ) = { x if x is even x − 1 if x is odd i. f ( x ) = | x | j. f ( x ) = x − | x | k. f ( x ) = { x if x is even x − 1 2 if x is odd l. f ( x ) = { x − 1 if x is even 2 x if x is odd m. f ( x ) = { x 2 if x is even x + 2 if x is odd n. f ( x ) = { x + 1 if x is even x + 1 2 if x is odd ### Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
Publisher: Cengage Learning,
ISBN: 9781285463230 ### Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
Publisher: Cengage Learning,
ISBN: 9781285463230

#### Solutions

Chapter
Section
Chapter 1.5, Problem 1E
Textbook Problem

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