Algebra and Trigonometry 10th Edition

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

Chapter 4 - Review Exercises - Page 352: 3


Domain: all real numbers except $x=4~~and~~x=6$

Work Step by Step

$\frac{8}{x^2-10x+24}$ The denominator must be different from $0$. $x^2-10x+24\ne0$ $x^2-6x-4x+24\ne0$ $x(x-6)-4(x-6)\ne0$ $(x-4)(x-6)\ne0$ $x-4\ne0~~and~~x-6\ne0$ $x\ne4~~and~~x\ne6$
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