## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

# Chapter 2 - 2.7 - Inverse Functions - 2.7 Exercises - Page 230: 89a

#### Answer

$f^{-1} (x)=y=\dfrac{4x-40}{3}$

#### 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: $f^{-1} (x)=y=\dfrac{4x-40}{3}$

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