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Mathematics
Mathematics
Problem
A continuous function
f
f
f
has average value
5
5
5
on the interval
[
0
,
6
]
[0,6]
[
0
,
6
]
. Determine the average value of
g
(
x
)
=
3
f
(
2
x
)
+
1
g(x)=3f(2x)+1
g
(
x
)
=
3
f
(
2
x
)
+
1
on
[
0
,
3
]
[0,3]
[
0
,
3
]
. a)
15
15
15
b)
16
16
16
c)
46
3
\dfrac{46}{3}
3
46
d)
18
18
18
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