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Contests
National and Regional Contests
France Contests
France Pre-TST
2005 France Pre-TST
8
8
Part of
2005 France Pre-TST
Problems
(1)
French pre-TST-2004/2005 #8
Source: Me
12/20/2004
Let
f
f
f
be a function from the set
Q
Q
Q
of the rational numbers onto itself such that
f
(
x
+
y
)
=
f
(
x
)
+
f
(
y
)
+
2547
f(x+y)=f(x)+f(y)+2547
f
(
x
+
y
)
=
f
(
x
)
+
f
(
y
)
+
2547
for all rational numbers
x
,
y
x,y
x
,
y
. Moreover
f
(
2004
)
=
2547
f(2004) = 2547
f
(
2004
)
=
2547
. Determine
f
(
2547
)
.
f(2547).
f
(
2547
)
.
Pierre.
function
limit