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Contests
National and Regional Contests
Netherlands Contests
Dutch Mathematical Olympiad
1991 Dutch Mathematical Olympiad
3
3
Part of
1991 Dutch Mathematical Olympiad
Problems
(1)
prove that f(0)=0
Source: Netherlands 1991
6/28/2009
A real function
f
f
f
satisfies 4f(f(x))\minus{}2f(x)\minus{}3x\equal{}0 for all real numbers
x
x
x
. Prove that f(0)\equal{}0.
function
algebra proposed
algebra