Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.7 - Combinations of Functions; Composite Functions - Exercise Set - Page 260: 108

Answer

See graph and explanations.

Work Step by Step

Step 1. Graph the function $y_1=x^2-2x$ as the blue curve in the figure. Step 2. Graph the function $y_2=x$ as the green line in the figure. Step 3. Graph the function $y_3=y_1+y_2$ as the red curve in the figure. Step 4. We can see that all three functions meet at $x=0$; in other words, $x=0$ is a solution to all the equations.
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