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IberoAmerican
1987 IberoAmerican
1
Find the function [IberoAmerican 1987]
Find the function [IberoAmerican 1987]
Source:
November 12, 2010
function
algebra proposed
algebra
Problem Statement
Find the function
f
(
x
)
f(x)
f
(
x
)
such that
f
(
x
)
2
f
(
1
−
x
x
+
1
)
=
64
x
f(x)^2f\left(\frac{1-x}{x+1}\right) =64x
f
(
x
)
2
f
(
x
+
1
1
−
x
)
=
64
x
for
x
≠
0
,
x
≠
1
,
x
≠
−
1
x\not=0,x\not=1,x\not=-1
x
=
0
,
x
=
1
,
x
=
−
1
.
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