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District Olympiad
2008 District Olympiad
4
Romania District Olympiad 2008 - Grade XI
Romania District Olympiad 2008 - Grade XI
Source:
April 10, 2011
function
real analysis
real analysis unsolved
Problem Statement
Find the values of
a
∈
[
0
,
∞
)
a\in [0,\infty)
a
∈
[
0
,
∞
)
for which there exist continuous functions
f
:
R
→
R
f:\mathbb{R}\rightarrow \mathbb{R}
f
:
R
→
R
, such that
f
(
f
(
x
)
)
=
(
x
−
a
)
2
,
(
∀
)
x
∈
R
f(f(x))=(x-a)^2,\ (\forall)x\in \mathbb{R}
f
(
f
(
x
))
=
(
x
−
a
)
2
,
(
∀
)
x
∈
R
.
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