Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 1 - Section 1.3 - Linear Functions and Models - Exercises - Page 95: 130

Answer

$ f(x)=x^{3}\qquad g(x)=x^{2}$ (sample answer)

Work Step by Step

Linear functions have the form $f(x)=mx+b$. Let $ f(x)=x^{3}\qquad$ (not linear) $ g(x)=x^{2}\qquad$ (not linear) $\displaystyle \frac{f}{g}(x)=\frac{f(x)}{g(x)}=\frac{x^{3}}{x^{2}}=x$, which is linear (m=1,b=0)
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