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Mathematics
Problem
Let
f
(
x
)
=
x
2
+
k
x
−
6
x
−
2
f(x)=\dfrac{x^{2}+kx-6}{x-2}
f
(
x
)
=
x
−
2
x
2
+
k
x
−
6
. Determine the value of
k
k
k
that allows
f
f
f
to be redefined at
x
=
2
x=2
x
=
2
so that it becomes continuous at that point.
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