{"id":254155,"date":"2026-07-13T03:18:13","date_gmt":"2026-07-13T00:18:13","guid":{"rendered":"https:\/\/1kitap1.com\/en\/beginning-and-intermediate-algebra-5th-edition-elayn-martin-gay\/"},"modified":"2026-07-13T03:18:13","modified_gmt":"2026-07-13T00:18:13","slug":"beginning-and-intermediate-algebra-5th-edition-elayn-martin-gay","status":"publish","type":"post","link":"https:\/\/1kitap1.com\/en\/beginning-and-intermediate-algebra-5th-edition-elayn-martin-gay\/","title":{"rendered":"Beginning And Intermediate Algebra 5th Edition – Elayn Martin – Gay"},"content":{"rendered":"
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7.1 | Rational Functions and Simplifying Rational Expressions As we reviewed in Chapter 1, a rational number is a number that can be written as a quo- tient of integers. A rational expression is also a quotient; it is a quotient of polynomials. 1 Find the Domain of a Rational ee Function. (> _ Rational Expression Simplify or Write Rational A rational expression is an expression that can be written in the form Expressions in Lowest Ne Terms.<\/p>\n

() On Write Equivalent Rational where P and Q are polynomials and Q # 0. Expressions of the Form y dee \u00a3 aoe! ae ae a \u2014a a : a tas 7 = a Rational Expressions al pPaie Use Rational Functions in a 3y ab 22 ee aaaliae Applications.<\/p>\n

(> iz p>+2p+1 3x +7 The first rational expression (or fraction) above is a For a negative fraction 2: such as \u2014 > recall from Section 1.7 that Nee ie Ga -7 In general, for any fraction, \u2014a_ a a Poe, oP b #0 This is also true for rational expressions. For example, reeOet 2). re setae z \u2014\u2014\u2014 Notice the parentheses. Rational expressions are sometimes used to describe functions. For example, we call +2 : eetight : the function f(x) = 3 3 rational function since is a rational expression.<\/p>\n

= 1. Finding the Domain of a Rational Function \u00a9 As with fractions, a rational expression is undefined if the denominator is 0. If a vari- able in a rational expression is replaced with a number that makes the denominator 0, we say that the rational expression is undefined for this value of the variable. For : ; : : : \u00e9 example, the rational expression 3 is undefined when x is 3, because replacing x ae with 3 results in a denominator of 0.<\/p>\n

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Where those designations appear in this book, and Pearson Education was aware of a trademark claim, the designations have been printed in initial caps or all caps. Library of Congress Cataloging-in-Publication Data Martin-Gay, K. Elayn Beginning & intermediate algebra \/ Elayn Martin-Gay. \u2014Sth ed. p.cm. ISBN-13: 978-0-321-78512-1 ISBN-10: 0-321-78512-6 1. Algebra\u2014Textbooks. I. Title. II. Title: Beginning and intermediate algebra. QA152.3.M3527 2013 12.9\u2014de23 ae 2011013315 Copyright \u00a9 2013, 2009, 2005, 2001, 1996 Pearson Education, Inc.<\/p>\n

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher. Printed in the United States of America. For information on obtaining permission for use of material in this work, please submit a written request to Pearson Education, Inc., Rights and Contracts Department, 501 Boylston Street, Suite 900, Boston, MA 02116, fax your request to 617-671-3447, or e-mail at http:\/\/www.pearsoned.com\/legal\/permissions.htm.<\/p>\n

45 67 8 9 10\u2014V011\u201416 15 14 PEARSON ISBN-10: 0-321-78512-6 www.pearsonhighered.com ISBN-13: 978-0-321-78512-1 This book is dedicated to students everywhere\u2014and we should all be students. After all, is there anyone among us who really knows too much? Take that hint and continue to learn something new every day of your life.<\/p>\n<\/blockquote>\n

This is a short excerpt from the opening of “” by Unknown, quoted for review and introduction purposes. All rights belong to the copyright holders.<\/em><\/p>\n

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