Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.8 - One-to-One Functions and Their Inverses - 2.8 Exercises - Page 228: 94

Answer

a. f(x) = 80x + 500 (80 is the rate, so it is the slope) b. $f^{-1}(x) = \frac{x-500}{80}$ It represents the number of hours the investigator worked if he was payed x amount c. 9 9 hours of work for $1220 payment

Work Step by Step

a. f(x) = 80x + 500 (80 is the rate, so it is the slope) b. x = 80y + 500 x-500 = 80y $f^{-1}(x) = \frac{x-500}{80}$ It represents the number of hours the investigator worked if he was payed x amount c. $f^{-1}(1220) = \frac{1220-500}{80}$ = 9 9 hours of work for $1220 payment
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