Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 7 - Section 7.1 - Rational Expressions and Their Simplification - Exercise Set: 19

Answer

This expression is defined for all real numbers.

Work Step by Step

A rational expression is undefined when the value of its denominator is zero. Write and solve an expression where the denominator is zero. $x^2+1=0$ Use the addition property of equality to solve both equations for y. $x^2+1-1=0-1$ Simplify. $x^2=-1$ Since the square of a number can never be negative, this denominator can never be negative. This expression is defined for all real numbers.
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.