Let f: Z→ Z be defined by f(x) = x² - 1, and let C = {0, 1,3}. Find f(C), f-¹(C), f(f(C)) and f(f-¹(C)).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
icon
Related questions
Question
Let f: Z → Z be defined by f(x)=x²-1, and let C = {0, 1, 3}.
Find f(C), f-¹(C), f-¹(f(C)) and f(f-¹(C)).
Transcribed Image Text:Let f: Z → Z be defined by f(x)=x²-1, and let C = {0, 1, 3}. Find f(C), f-¹(C), f-¹(f(C)) and f(f-¹(C)).
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Recommended textbooks for you
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
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,