Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
(e) If x and y are rational numbers, where y +0 and y # -1, then 1+ is also rational. 1

(e) If x and y are rational numbers, where y +0 and y # -1, then 1+ is also rational. 1

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 23E
See similar textbooks
Question

Prove each of the following statements using a direct proof.

(e) If \( x \) and \( y \) are rational numbers, where \( y \neq 0 \) and \( y \neq -1 \), then \[ \frac{x}{1 + \frac{1}{y}} \] is also rational.
Transcribed Image Text:(e) If \( x \) and \( y \) are rational numbers, where \( y \neq 0 \) and \( y \neq -1 \), then \[ \frac{x}{1 + \frac{1}{y}} \] is also rational.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS