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2014 BMT Spring
6
BMT 2014 Spring - Analysis 6
BMT 2014 Spring - Analysis 6
Source:
January 6, 2022
fe
functional equation
algebra
Problem Statement
Find
f
(
2
)
f(2)
f
(
2
)
given that
f
f
f
is a real-valued function that satisfies the equation
4
f
(
x
)
+
(
2
3
)
(
x
2
+
2
)
f
(
x
−
2
x
)
=
x
3
+
1.
4f(x)+\left(\frac23\right)(x^2+2)f\left(x-\frac2x\right)=x^3+1.
4
f
(
x
)
+
(
3
2
)
(
x
2
+
2
)
f
(
x
−
x
2
)
=
x
3
+
1.
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