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Mathematics
Problem
Let
g
(
x
)
=
(
x
−
4
)
(
x
+
5
)
x
−
4
g(x)=\dfrac{(x-4)(x+5)}{x-4}
g
(
x
)
=
x
−
4
(
x
−
4
)
(
x
+
5
)
. Which description best characterizes the discontinuity at
x
=
4
x=4
x
=
4
? a)
g
g
g
is continuous at
x
=
4
x=4
x
=
4
. b) Removable (hole) discontinuity at
x
=
4
x=4
x
=
4
. c) Infinite (vertical asymptote) discontinuity at
x
=
4
x=4
x
=
4
. d) Jump discontinuity at
x
=
4
x=4
x
=
4
.
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