Algebra and Trigonometry 10th Edition

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

Chapter 4 - 4.2 - Graphs of Rational Functions - 4.2 Exercises - Page 324: 73


(a) According to the graph, the function intercepts the x-axis when $x=-1$ The x-intercept is: $(-1,0)$ (b) Algebraically $y=0$ when $x=-1$ The x-intercept is: $(-1,0)$

Work Step by Step

$y=x+2+\frac{1}{x}$ $0=x+2+\frac{1}{x}~~$ (Multiply both sides by $x$) $0=x^2+2x+1=x^2+2(1)x+1^2$ $(x+1)^2=0$ $x+1=0$ $x=-1$
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