Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - Chapter 2 Test Prep - Review Exercises - Page 299: 111

Answer

$2$

Work Step by Step

Step 1. Given $f(x)=2x+9$, we have $f(x+h)=2(x+h)+9=2x+2h+9$ Step 2. $f(x+h)-f(x)=2(x+h)+9=2x+2h+9-2x-9=2h$ Step 3. Thus $\frac{f(x+h)-f(x)}{h}=2$
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