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If-f-x-2-6x-6-f-x-2-4x-4-2x-x-R-then-f-3-f-9-5f-1-

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Question Number 143987 by liberty last updated on 20/Jun/21
If f(x^2 −6x+6)+f(x^2 −4x+4)=2x ∀x∈R then f(−3)+f(9)−5f(1)=?
Iff(x2−6x+6)+f(x2−4x+4)=2x∀x∈Rthenf(−3)+f(9)−5f(1)=?
Answered by mitica last updated on 20/Jun/21
x=1⇒f(1)+f(1)=2⇒f(1)=1 x=3⇒f(−3)+f(1)=6⇒f(−3)=5 x=5⇒f(1)+f(9)=10⇒f(9)=9 ⇒f(−3)+f(9)−5f(1)=9
x=1⇒f(1)+f(1)=2⇒f(1)=1x=3⇒f(−3)+f(1)=6⇒f(−3)=5x=5⇒f(1)+f(9)=10⇒f(9)=9⇒f(−3)+f(9)−5f(1)=9

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