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Mathematics
Mathematics
Problem
Let
f
(
x
)
f(x)
f
(
x
)
be a continuous function defined for
1
≤
x
≤
3
1 \le x \le 3
1
≤
x
≤
3
. If
f
(
x
)
f(x)
f
(
x
)
takes rational values for all
x
x
x
and
f
(
2
)
=
10
f(2) = 10
f
(
2
)
=
10
, then find the value of
f
(
1.5
)
f(1.5)
f
(
1.5
)
.
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