Determine all functions f from the set of posit that, for all positive integers a and b, there exists a non a, f(b) and f(b+ f(a)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 32E
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Determine all functions f from the set of positive integers to the set of positive integers
such that, for all positive integers a and b, there exists a non-degenerate triangle with sides of lengths
a, f(b) and f(b + f(a)-1).
Transcribed Image Text:Determine all functions f from the set of positive integers to the set of positive integers such that, for all positive integers a and b, there exists a non-degenerate triangle with sides of lengths a, f(b) and f(b + f(a)-1).
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