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Mathematics
Problem
Define
g
(
x
)
=
x
2
−
16
x
−
4
g(x)=\dfrac{x^{2}-16}{x-4}
g
(
x
)
=
x
−
4
x
2
−
16
for
x
≠
4
x\neq4
x
=
4
. The function is extended at
x
=
4
x=4
x
=
4
by setting
g
(
4
)
=
k
g(4)=k
g
(
4
)
=
k
. For which value of
k
k
k
is
g
g
g
continuous on the closed interval
[
2
,
4
]
[2,4]
[
2
,
4
]
? a)
0
0
0
b)
4
4
4
c)
8
8
8
d)
12
12
12
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