Answer
a. $\quad 3h$
b. $\quad 3$
Work Step by Step
a.
$f(x+h)=3(x+h)-1=3x+3h-1$
$f(x+h)-f(x)=3x+3h-1-(3x-1)$
$=3x+3h-1-3x+1$
$=3h$
b.
using the result of (a),
$\displaystyle \frac{f(x+h)-f(x)}{h}=\frac{3h}{h}=\quad$ .. reduce h,
$=3$
Finite Math and Applied Calculus (6th Edition)
by Waner, Stefan; Costenoble, Steven
Published by
Brooks Cole
ISBN 10:
1133607705
ISBN 13:
978-1-13360-770-0
Chapter 1 - Section 1.1 - Functions from the Numerical, Algebraic, and Graphical Viewpoints - Exercises - Page 53: 38
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