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Mathematics
Problem
Let
f
(
x
)
=
(
x
−
1
)
(
x
+
2
)
x
−
1
f(x)=\dfrac{(x-1)(x+2)}{x-1}
f
(
x
)
=
x
−
1
(
x
−
1
)
(
x
+
2
)
. At which of the following points is
f
(
x
)
f(x)
f
(
x
)
discontinuous? a)
x
=
−
2
x=-2
x
=
−
2
b)
f
f
f
is continuous everywhere c)
x
=
1
x=1
x
=
1
d)
x
=
1
and
x
=
−
2
x=1 \text{ and } x=-2
x
=
1
and
x
=
−
2
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