MathDB
Problems
Contests
National and Regional Contests
Russia Contests
All-Russian Olympiad Regional Round
1995 All-Russian Olympiad Regional Round
10.1
f(x) = 1/ sqrt[3]{1-x^3} All-Russian MO 1995 Regional (R4) 10.1
f(x) = 1/ sqrt[3]{1-x^3} All-Russian MO 1995 Regional (R4) 10.1
Source:
August 26, 2024
algebra
composition
Problem Statement
Given function
f
(
x
)
=
1
1
−
x
3
3
f(x) = \dfrac{1}{\sqrt[3]{1-x^3}}
f
(
x
)
=
3
1
−
x
3
1
, find
f
(
.
.
.
f
(
f
(
19
)
)
.
.
.
)
⏟
95
\underbrace{f(... f(f(19))...)}_{95}
95
f
(
...
f
(
f
(
19
))
...
)
. .
Back to Problems
View on AoPS