Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.2 - Functions - 2.2 Exercises - Page 182: 21

Answer

(a) $g(2)=15$ (b) $g(t-2)=4t^2-19t+27$ (c) $g(t)-g(2)=4t^2-3t-10$

Work Step by Step

$g(t)=4t^2-3t+5$ (a) $g(2)=4(2)^2-3(2)+5=16-6+5=15$ (b) $g(t-2)=4(t-2)^2-3(t-2)+5=4(t^2-4t+4)-3(t-2)+5=4t^2-16t+16-3t+6+5=4t^2-19t+27$ (c) $g(t)-g(2)=4t^2-3t+5-15=4t^2-3t-10$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After 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.

GradeSaver will pay $15 for your literature essays
GradeSaver will pay $25 for your college application essays
GradeSaver will pay $50 for your graduate school essays – Law, Business, or Medical
GradeSaver will pay $10 for your Community Note contributions
GradeSaver will pay $500 for your Textbook Answer contributions