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1991 Poland - Second Round
4
f(4x) - f(3x) = 2x
f(4x) - f(3x) = 2x
Source: Polish MO Recond Round 1991 p4
September 9, 2024
algebra
funtional
functional equation
Problem Statement
Find all monotone functions
f
:
R
→
R
f: \mathbb{R} \to \mathbb{R}
f
:
R
→
R
satisfying the equation
f
(
4
x
)
−
f
(
3
x
)
=
2
x
for
x
∈
R
.
f(4x)-f(3x) = 2x \ \ \text{ for } \ \ x \in \mathbb{R}.
f
(
4
x
)
−
f
(
3
x
)
=
2
x
for
x
∈
R
.
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