53. let F: RR f(x₁) + f(x2) 2 F(x) f be a function satisfying f (x₁+xz) = 2 Prove That x₁ t... txn n C f (x₁) + ... + f (xn)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 59E
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Combinatorics 

S3.
let F: R → R
F(x₁) + f(x₂)
2
be a
function satisfying f (x₁+x²) =
2
Prove that
f ₁ x₁ +... txn
C
f (x₁) +...+ f (xn)
Transcribed Image Text:S3. let F: R → R F(x₁) + f(x₂) 2 be a function satisfying f (x₁+x²) = 2 Prove that f ₁ x₁ +... txn C f (x₁) +...+ f (xn)
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