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Mathematics
Mathematics
Problem
Consider the function
g
(
x
)
=
x
2
+
k
x
−
8
x
−
2
,
g(x)=\frac{x^{2}+kx-8}{x-2},
g
(
x
)
=
x
−
2
x
2
+
k
x
−
8
,
which is undefined at
x
=
2
x=2
x
=
2
when written in this form. Find the value of
k
k
k
that allows
g
g
g
to be redefined at
x
=
2
x=2
x
=
2
so that it becomes continuous there.
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