Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 8 - Rational Functions - 8-5 Adding and Subtracting Rational Expressions - Practice and Problem-Solving Exercises - Page 539: 13

Answer

$-\dfrac{3}{x}$ Restriction: $x \ne 0$

Work Step by Step

Because both expressions already have a common denominator, we can just simply subtract the numerators: $\dfrac{-2 - 1}{x}$ Combine like terms: $\dfrac{-3}{x}$ or $-\dfrac{3}{x}$ Now, we need to find the restrictions by seeing what values of the variable will make the denominator equal to zero because if the denominator of any rational expression is zero, the expression is undefined. To find out the restrictions on the variables, set the denominator equal to zero: $x = 0$ Restriction: $x \ne 0$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.