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Putnam
1979 Putnam
A2
Putnam 1979 A2
Putnam 1979 A2
Source:
April 8, 2022
college contests
Problem Statement
Establish necessary and sufficient conditions on the constant
k
k
k
for the existence of a continuous real valued function
f
(
x
)
f(x)
f
(
x
)
satisfying
f
(
f
(
x
)
)
=
k
x
9
f(f(x))=kx^9
f
(
f
(
x
))
=
k
x
9
for all real
x
x
x
.
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