Answer
$2x-5+h$
Work Step by Step
Step 1. Given $f(x)=x^2-5x+1$, we have $f(x+h)=(x+h)^2-5(x+h)+1=x^2+2xh+h^2-5x-5h+1$
Step 2. We have $f(x+h)-f(x)=x^2+2xh+h^2=5x-5h+1-(x^2-5x+1)=2xh+h^2-5h$
Step 3. Thus $\frac{f(x+h)-f(x)}{h}=2x-5+h$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 6 - Trigonometric Functions - 6.4 Graphs of the Sine and Cosine Functions - 6.4 Assess Your Understanding - Page 411: 103
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.
