Answer
a. $2x+2h+1$
b. $2h$
c. $2$
Work Step by Step
$f(x)=2x+1$
a.
$f(x+h)=2(x+h)+1=2x+2h+1$
b.
$f(x+h)-f(x)=2x+2h+1-2x-1=2h$
c.
$\displaystyle \frac{f(x+h)-f(x)}{h}=\frac{2h}{h}=2$
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter 2 - Nonlinear Functions - 2.1 Properties of Functions - 2.1 Exercises - Page 55: 51
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