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Mathematics
Mathematics
Problem
For the function
g
(
x
)
=
1
x
−
2
g(x)=\dfrac{1}{x-2}
g
(
x
)
=
x
−
2
1
defined on
(
−
∞
,
2
)
∪
(
2
,
∞
)
(-\infty,2)\cup(2,\infty)
(
−
∞
,
2
)
∪
(
2
,
∞
)
, decide whether any local extremum lies in its domain. State your conclusion with justification in one sentence.
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