Algebra and Trigonometry 10th Edition

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

Chapter 2 - 2.7 - Inverse Functions - 2.7 Exercises - Page 230: 89b

Answer

$19$

Work Step by Step

Let $x$ be wages and $y$ be the number of units produced. We have $y=10+0.75 x$ To compute the inverse, we will have to interchange $x$ and $y$. $x=10+0.75 y$ Re-write as: $ y=\dfrac{4x-40}{3}$ Replace $y$ with $f^{-1} (x)$. So, the inverse function is: $f^{-1} (x)=y=\dfrac{4x-40}{3}$ Plug $24.25$ in the inverse function. $f^{-1} (x)=\dfrac{4(24.25)-40}{3}=\dfrac{97-40}{3}=19$
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