Answered: let N be the set of natural numbers and…

let N be the set of natural numbers and f:NU {0} →NU [0] be definedby: (n+1 when n is even f(n) = n-1 whenn is odd Show that ,f is a bijective mapping. Also that f =f

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 27E: 27. Let , where and are nonempty. Prove that has the property that for every subset of if and...

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Question

let N be the set of natural numbers and f: NU {0} →NU0 be
definedby:
n+1 whenn is even
f(n) =
n-1 whenn is odd
Show that ,f is a bijective mapping. Also that f'=f

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