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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230

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BuyFindarrow_forward

Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem
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Let A = { 1 , 0 , 1 } . Find mappings f : A A and g : A A such that f g g f .

To determine

The mappings f:AA and g:AA such that fggf

Explanation

Given information:

A={1,0,1}

Formula used:

Definition: Let g:AB and f:BC. The composite mapping fg is the mapping from A to C defined by (fg)(x)=f(g(x)) for all xA.

Explanation:

Let A={1,0,1}

f:AA and g:AA

Let f(x)=x2,g(x)=x

By using the definition of a composite function,

(fg)(x)=<

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