College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.6 - Page 297: 30

Answer

D=(-$\infty$,-3) U (-3,2) U (2,3) U (3,$\infty$)

Work Step by Step

x$^3$-2x$^2$-9x+18$\ne$0 x$^2$(x-2)-9(x-2)$\ne$0 (x$^2$-9)(x-2)$\ne$0 (x+3)(x-3)(x-2)$\ne$0 x$\ne$-3, 2, or 3 Therefore, the domain includes all real numbers except -3, 2 or 3.
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