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· fe-1
Functional Equations · Cauchy on integers
Olympiad training
●●●●○ 7/10
~3 min
⏱ 0:00
A function satisfies
f
(
x
+
y
)
=
f
(
x
)
+
f
(
y
)
f(x + y) = f(x) + f(y)
f
(
x
+
y
)
=
f
(
x
)
+
f
(
y
)
for all real
x
,
y
x, y
x
,
y
, and
f
(
1
)
=
3
f(1) = 3
f
(
1
)
=
3
. What is
f
(
7
)
f(7)
f
(
7
)
?
cauchy
additive
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