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Putnam
1971 Putnam
B2
Putnam 1971 B2
Putnam 1971 B2
Source:
April 6, 2022
college contests
Problem Statement
Let
F
(
x
)
F(x)
F
(
x
)
be a real valued function defined for all real
x
x
x
except for
x
=
0
x=0
x
=
0
and
x
=
1
x=1
x
=
1
and satisfying the functional equation
F
(
x
)
+
F
{
(
x
ā
1
)
/
x
}
=
1
+
x
.
F(x)+F\{(x-1)/x\}=1+x.
F
(
x
)
+
F
{(
x
ā
1
)
/
x
}
=
1
+
x
.
Find all functions
F
(
x
)
F(x)
F
(
x
)
satisfying these conditions.
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