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If f(x) is a polynomial function satisfying f(x) ·ƒ ( ² ) = f(x) + f ( ² ) a and f(4) = 65, then find f(6).

If f(x) is a polynomial function satisfying f(x) ·ƒ ( ² ) = f(x) + f ( ² ) a and f(4) = 65, then find f(6).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If f(x) is a polynomial function satisfying ƒ(x) · ƒ ( ² ) = f(x) + ƒ ( ² ) ₂² f(x).f X and f(4) = 65, then find f(6).
Transcribed Image Text:If f(x) is a polynomial function satisfying ƒ(x) · ƒ ( ² ) = f(x) + ƒ ( ² ) ₂² f(x).f X and f(4) = 65, then find f(6).
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