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4
SMT 2013 Algebra #4
SMT 2013 Algebra #4
Source:
February 3, 2013
Problem Statement
Given that
f
(
x
)
+
2
f
(
8
ā
x
)
=
x
2
f(x)+2f(8-x)=x^2
f
(
x
)
+
2
f
(
8
ā
x
)
=
x
2
for all real
x
x
x
, compute
f
(
2
)
f(2)
f
(
2
)
.
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