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Mathematics
Mathematics
Problem
Let
g
(
x
)
=
x
2
−
x
g(x)=x^{2}-x
g
(
x
)
=
x
2
−
x
. If the average rate of change of
g
g
g
on the interval
[
1
,
b
]
[1,b]
[
1
,
b
]
equals
3
3
3
for some
b
>
1
b>1
b
>
1
, what is the value of
b
b
b
? a)
3
3
3
b)
2
2
2
c)
4
4
4
d)
2
+
2
2+\sqrt{2}
2
+
2
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