Answered: Let R be the set of all real numbers.…

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.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.4: Zeros Of A Polynomial

Problem 1E: 1. Find a monic polynomial of least degree over that has the given numbers as zeros, and a monic...

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Question

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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