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Mathematics
Mathematics
Problem
Consider
p
(
x
)
=
5
−
x
x
−
1
p(x)=\dfrac{\sqrt{5-x}}{x-1}
p
(
x
)
=
x
−
1
5
−
x
with its natural domain. On which of the following intervals is
p
p
p
continuous? a)
(
−
∞
,
1
)
∪
(
1
,
5
)
(-\infty,1)\cup(1,5)
(
−
∞
,
1
)
∪
(
1
,
5
)
b)
(
−
∞
,
5
]
(-\infty,5]
(
−
∞
,
5
]
c)
(
−
∞
,
1
)
∪
(
1
,
5
]
(-\infty,1)\cup(1,5]
(
−
∞
,
1
)
∪
(
1
,
5
]
d)
(
1
,
5
]
(1,5]
(
1
,
5
]
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