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Mathematics
Problem
Consider the function
h
(
x
)
=
x
−
1
x
2
−
9
h(x)=\dfrac{\sqrt{x-1}}{x^{2}-9}
h
(
x
)
=
x
2
−
9
x
−
1
. The function is continuous on which of the following sets? a)
(
1
,
3
)
∪
(
3
,
∞
)
(1,3)\cup(3,\infty)
(
1
,
3
)
∪
(
3
,
∞
)
b)
(
1
,
∞
)
(1,\infty)
(
1
,
∞
)
c)
[
1
,
3
)
∪
(
3
,
∞
)
[1,3)\cup(3,\infty)
[
1
,
3
)
∪
(
3
,
∞
)
d)
(
3
,
∞
)
(3,\infty)
(
3
,
∞
)
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