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1996 Tournament Of Towns
(521) 4
TOT 521 1996 Autumn S A4 f(f(x)) = x^2 - 1996
TOT 521 1996 Autumn S A4 f(f(x)) = x^2 - 1996
Source:
August 16, 2024
algebra
function
Problem Statement
Prove that for any function
f
(
x
)
f(x)
f
(
x
)
, continuous or otherwise,
f
(
f
(
x
)
)
=
x
2
ā
1996
f(f(x)) = x^2 - 1996
f
(
f
(
x
))
=
x
2
ā
1996
cannot hold for all real numbers
x
x
x
.(S Bogatiy, M Smurov,)
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