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


(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) $g(t)-g(2)=4t^2-3t+5-15=4t^2-3t-10$
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