Answer
$
\frac{g(t+h)-g(t)}{h}=2
$
Work Step by Step
Since $g(t+h)=2(t+h)-1$ we have
$$
\frac{g(t+h)-g(t)}{h}=\frac{2(t+h)-1-(2 t-1)}{h}=\frac{2 t+2 h-1-2 t+1}{h}=\frac{2 h}{h}=2
$$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 2 - Functions - 2.1 Input and Output - Exercises and Problems for Section 2.1 - Exercises and Problems - Page 76: 25
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