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Mathematics
Mathematics
Problem
Given
f
(
x
)
=
a
x
+
b
x
f(x) = ax + \frac{b}{x}
f
(
x
)
=
a
x
+
x
b
,
f
(
1
)
=
1
f(1) = 1
f
(
1
)
=
1
, and
f
(
2
)
=
5
f(2) = 5
f
(
2
)
=
5
, find constants
a
a
a
and
b
b
b
.
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