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Mathematics
Mathematics
Problem
A rational function
f
(
x
)
=
p
(
x
)
q
(
x
)
f(x)=\dfrac{p(x)}{q(x)}
f
(
x
)
=
q
(
x
)
p
(
x
)
is discontinuous at those real numbers where a)
p
(
x
)
=
0
p(x)=0
p
(
x
)
=
0
b)
p
(
x
)
=
0
and
q
(
x
)
=
0
p(x)=0\;\text{and}\;q(x)=0
p
(
x
)
=
0
and
q
(
x
)
=
0
c)
q
(
x
)
=
0
q(x)=0
q
(
x
)
=
0
d)
p
(
x
)
≠
0
and
q
(
x
)
=
0
p(x)\neq 0\;\text{and}\;q(x)=0
p
(
x
)
=
0
and
q
(
x
)
=
0
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