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Re: [obm-l] Correcao - funcao



Seja f(x+f(y)) = x + f(f(y)) e f(2) = 8. Calcule f(2005)
f(2005)=f(1997+8)=f(1997+f(2))=1997+f(f(2))=1997+f(8)
para x=f(y)
f(2*f(y))=f(y)+f(f(y))
ou
f(x+x)=x+f(x)=f(2x)
f(2*4)=4+f(4)=4+f(2*2)=4+2+f(2)=4+2+8=14
f(8)=14
f(2005)=1997+14=2011
On 9/3/05, Danilo Nascimento <souza_danilo@yahoo.com.br> wrote:
Seja f(x+f(y)) = x + f(f(y)) e f(2) = 8. Calcule f(2005)

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