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Mathematics
Mathematics
Problem
A continuous function
f
f
f
has average value
3
3
3
on
[
−
1
,
1
]
[-1,1]
[
−
1
,
1
]
. Find the average value of
h
(
x
)
=
2
f
(
3
x
)
+
4
h(x)=2f(3x)+4
h
(
x
)
=
2
f
(
3
x
)
+
4
on the interval
[
−
1
3
,
1
3
]
\left[-\dfrac{1}{3},\,\dfrac{1}{3}\right]
[
−
3
1
,
3
1
]
.
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