Let R be the set of all real numbers. Determine every function g: R→ R such that for all real numbers a and b, we have g(a²+b+g(b)) = 2b + (g(a))².

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 16CT
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Let R be the set of all real numbers. Determine every function g: R → R such that for all real
numbers a and b, we have
g(a²+b+g(b)) = 2b + (g(a))².
Transcribed Image Text:Let R be the set of all real numbers. Determine every function g: R → R such that for all real numbers a and b, we have g(a²+b+g(b)) = 2b + (g(a))².
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