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Mathematics
Problem
Let
g
(
x
)
=
ln
(
x
−
1
)
x
2
−
9
.
g(x)=\frac{\ln(x-1)}{x^{2}-9}.
g
(
x
)
=
x
2
−
9
ln
(
x
−
1
)
.
At which of the following real numbers is
g
g
g
discontinuous? a)
x
=
3
x=3
x
=
3
\, only b)
x
=
1
and
x
=
3
x=1\text{ and }x=3
x
=
1
and
x
=
3
c)
x
=
1
x=1
x
=
1
\, only d)
x
=
−
3
,
1
,
3
x=-3,\,1,\,3
x
=
−
3
,
1
,
3
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