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Given that is a polynomial function satisfying and
MATHEMATICS · Subjective · AoPS · Mathematics · Functions · Functions
Problem
Given that
f
(
x
)
f(x)
f
(
x
)
is a polynomial function satisfying
f
(
x
)
f
(
y
)
=
f
(
x
)
+
f
(
y
)
+
f
(
x
y
)
−
2
f(x)f(y)=f(x)+f(y)+f(xy)-2
f
(
x
)
f
(
y
)
=
f
(
x
)
+
f
(
y
)
+
f
(
x
y
)
−
2
and
f
(
2
)
=
5
f(2)=5
f
(
2
)
=
5
, find
f
(
3
)
f(3)
f
(
3
)
.
Related theory
Functions
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