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Mathematics
Problem
The function
h
(
x
)
=
x
2
−
4
h(x)=x^{2}-4
h
(
x
)
=
x
2
−
4
is continuous on
[
−
3
,
3
]
[-3,3]
[
−
3
,
3
]
but not one–to–one there. Determine an interval contained in
[
−
3
,
3
]
[-3,3]
[
−
3
,
3
]
on which
h
h
h
possesses a continuous inverse, and state that interval.
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