Answer
See the proof below.
Work Step by Step
We are given $f(x)=3^{x-1}$. We plug in below:
$\frac{f(x+h)-f(x)}{h}=\frac{3^{x+h-1}-3^{x-1}}{h}=\frac{3^h\cdot3^{x-1}-3^{x-1}}{h}=3^{x-1}(\frac{3^h-1}{h})$
Thus we proved what we had to.
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 4, Exponential and Logarithmic Functions - Section 4.1 - Exponential Functions - 4.1 Exercises - Page 373: 52
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
