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)).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 16E
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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)).
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