Algebra and Trigonometry 10th Edition

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

Chapter 2 - Review Exercises - Page 233: 22


Domain: all the real numbers except $x=3$ and $x=-2$

Work Step by Step

The denominator must be different from $0$: Use: $-x=2x-3x$ $x^2-x-6\ne0~~$ $x^2+2x-3x-6\ne0$ $x(x+2)-3(x+2)\ne0$ $(x-3)(x+2)\ne0$ $x-3\ne0$ $x\ne3$ or $x+2\ne0$ $x\ne-2$
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