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Mathematics
Problem
Let
f
(
x
)
=
x
2
−
4
x
+
3
f(x)=x^{2}-4x+3
f
(
x
)
=
x
2
−
4
x
+
3
. You wish to restrict its domain so that the resulting function is one–one and the numbers
2
2
2
and
5
5
5
both remain in the domain. Which one of the following intervals achieves this? a)
(
−
∞
,
5
]
(-\infty,5]
(
−
∞
,
5
]
b)
[
2
,
∞
)
[2,\infty)
[
2
,
∞
)
c)
(
2
,
∞
)
(2,\infty)
(
2
,
∞
)
d)
(
−
∞
,
2
]
(-\infty,2]
(
−
∞
,
2
]
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