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Mathematics
Problem
Let
g
(
x
)
=
x
x
−
2
g(x)=\dfrac{x}{x-2}
g
(
x
)
=
x
−
2
x
, defined for
x
≠
2
x\neq 2
x
=
2
. Determine all open intervals contained in its domain on which the graph of
g
g
g
is concave up.
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