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Vojtěch Jarník IMC
2008 VJIMC
Problem 1
FE over Z, 19f(x)-17f(f(x))=2x
FE over Z, 19f(x)-17f(f(x))=2x
Source: VJIMC 2008 2.1
June 17, 2021
fe
functional equation
algebra
Problem Statement
Find all functions
f
:
Z
→
Z
f:\mathbb Z\to\mathbb Z
f
:
Z
→
Z
such that
19
f
(
x
)
−
17
f
(
f
(
x
)
)
=
2
x
19f(x)-17f(f(x))=2x
19
f
(
x
)
−
17
f
(
f
(
x
))
=
2
x
for all
x
∈
Z
x\in\mathbb Z
x
∈
Z
.
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