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2020 LMT Spring
9
Spring 2020 Team Round Problem 9
Spring 2020 Team Round Problem 9
Source:
August 22, 2020
Problem Statement
A function
f
(
x
)
f(x)
f
(
x
)
is such that for any integer
x
x
x
,
f
(
x
)
+
x
f
(
2
−
x
)
=
6
f(x)+xf(2-x)=6
f
(
x
)
+
x
f
(
2
−
x
)
=
6
. Compute
−
2019
f
(
2020
)
-2019f(2020)
−
2019
f
(
2020
)
.
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