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Mathematics
Mathematics
Problem
Let
q
(
x
)
=
2
x
−
1
⋅
1
5
−
x
⋅
ln
(
x
−
2
)
q(x)=\sqrt{2x-1}\cdot\dfrac{1}{\sqrt{5-x}}\cdot\ln(x-2)
q
(
x
)
=
2
x
−
1
⋅
5
−
x
1
⋅
ln
(
x
−
2
)
. Which of the following intervals is the domain of
q
(
x
)
q(x)
q
(
x
)
? a)
(
1
2
,
5
)
\left(\dfrac12,5\right)
(
2
1
,
5
)
b)
[
2
,
5
)
[2,5)
[
2
,
5
)
c)
(
2
,
5
)
(2,5)
(
2
,
5
)
d)
(
2
,
5
]
(2,5]
(
2
,
5
]
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