het f: [0, 1) (0,1) be given by f(x) = 2x (mod 1). Find a poin [0, 1) where f² (x) is in a 3-cycle 3 cycle. but f(x) is not in n doubling map

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.5: Permutations And Inverses
Problem 4E: 4. Let , where is nonempty. Prove that a has left inverse if and only if for every subset of .
icon
Related questions
Question
5 het f: [0, 1) = (0,1) be a
ㅋ
doubling map
given by f(x) = 2x (mod 1). Find a point
in [0, 1) where f²(x) is in a 3-cycle
but f(x) is not in a 3 cycle.
Transcribed Image Text:5 het f: [0, 1) = (0,1) be a ㅋ doubling map given by f(x) = 2x (mod 1). Find a point in [0, 1) where f²(x) is in a 3-cycle but f(x) is not in a 3 cycle.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax