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Nordic
2024 Nordic
3
Nordic Q3
Nordic Q3
Source: Nordic
April 9, 2024
algebra
Nordic
auyesl
Problem Statement
Find all functions
f
:
R
→
R
f: \mathbb{R} \to \mathbb{R}
f
:
R
→
R
f
(
f
(
x
)
f
(
y
)
+
y
)
=
f
(
x
)
y
+
f
(
y
−
x
+
1
)
f(f(x)f(y)+y)=f(x)y+f(y-x+1)
f
(
f
(
x
)
f
(
y
)
+
y
)
=
f
(
x
)
y
+
f
(
y
−
x
+
1
)
For all
x
,
y
∈
R
x,y \in \mathbb{R}
x
,
y
∈
R
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