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).

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter4: Polynomial And Rational Functions
Section4.CR: Chapter Review
Problem 61E
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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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