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Soros Olympiad in Mathematics
I Soros Olympiad 1994-95 (Rus + Ukr)
9.8
f(f(x))<3 if f(x) =x^2-2x (I Soros Olympiad 1994-95 R2 9.8)
f(f(x))<3 if f(x) =x^2-2x (I Soros Olympiad 1994-95 R2 9.8)
Source:
May 25, 2024
algebra
inequalities
Problem Statement
Let
f
(
x
)
=
x
2
ā
2
x
f(x) =x^2-2x
f
(
x
)
=
x
2
ā
2
x
. Find all
x
x
x
for which
f
(
f
(
x
)
)
<
3
f(f(x))<3
f
(
f
(
x
))
<
3
.
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