Funkcija
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definirana je za svaki realni broj i za svako
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i
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vrijedi
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pri čemu je
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. Odredite
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za svaki cijeli broj
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.
%V0
Funkcija $f$ definirana je za svaki realni broj i za svako $x$ i $y$ vrijedi $$
f(xy)=f(x)\cdot f(y)-f(x+y)+1,
$$ pri čemu je $f(1)=2$. Odredite $f(m)$ za svaki cijeli broj $m$.