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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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Label each of the following statements as either true or false.

Composition of mappings is an associative operation.

To determine

Whether the statement, ‘Composition of mappings is an associative operation’ is true or false.

Explanation

Let the mapping of the function h is,

h:AB

The mapping of the function g is,

g:BC

The mapping of the function f is,

f:CD

Then,

((fg)h)(x)=(fg)(h(x))=f[g(h(x))]=f((gh

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