College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.7 - Combining Functions - 2.7 Exercises: 3

Answer

The rule of fog is multiply by 2, then add 1. The rule of gof is add 1, then multiply 2.

Work Step by Step

If the rule of f is add one and the rule of g is multiply by 2 The rule of fog is multiply by 2, then add 1. This is because fog = f(g(x)), so you apply the rule of g first. The rule of gof is add 1, then multiply 2. This is because gof = g(f(x)), so you apply the rule of f first.
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