College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.8 - One-to-One Functions and their Inverses - 2.8 Exercises - Page 264: 99

Answer

a. $f(x)=0.9766x$ b. $f^{-1}(x)=1.02396x$ c. $f^{-1}(12250)=12543.52$,

Work Step by Step

a. A function that gives the US dollar valuw of $x$ Canadian dollar is, $f(x)=0.9766x$ b. $y=0.9766x$, $x=0.9766y$, $y=\frac{x}{0.9766}=1.02396x=f^{-1}(x)$, $f^{-1}$ represents a Canadian dollar as a function of of $x$ US dollar value c. $f^{-1}(12250)=1.02396(12250)$, $f^{-1}(12250)=12543.52$,
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