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Mathematics
Problem
Between the two functions
f
(
x
)
=
x
2
f(x)=x^{2}
f
(
x
)
=
x
2
and
g
(
x
)
=
x
2
+
4
x
+
3
g(x)=x^{2}+4x+3
g
(
x
)
=
x
2
+
4
x
+
3
defined on the interval
[
0
,
1
]
[0,1]
[
0
,
1
]
, which one has the greater average value on this interval? State your answer with a brief reason.
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