   Chapter 1.5, Problem 7E

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Textbook Problem
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# Prove that if f is a permutation on A , then ( f − 1 ) − 1 = f .

To determine

To prove: If f is a permutation on A, then (f1)1=f.

Explanation

f:AA is invertible if and only if it is a permutation on A.

The given statement is,

f is a permutation on A.

f is invertible.

ff1=IA=f1f

f is the inverse of f1

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