Determine all functions f : R → R that have the property that x + y f (x) – f(y) "() - 1e) 2 x – Y for every x # y.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 50E
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Determine all functions f : R → R that have the property that
x + y
f'
f (x) – f(y)
x – y
for every x y.
Transcribed Image Text:Determine all functions f : R → R that have the property that x + y f' f (x) – f(y) x – y for every x y.
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