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Problem
Problem
Let
f
(
x
)
=
Min
{
4
x
+
1
,
x
+
2
,
−
2
x
+
4
}
f(x)=\text{Min}\{4x+1, x+2, -2x+4\}
f
(
x
)
=
Min
{
4
x
+
1
,
x
+
2
,
−
2
x
+
4
}
. Then the maximum value of
f
(
x
)
f(x)
f
(
x
)
is (a)
1
3
\frac{1}{3}
3
1
(b)
1
2
\frac{1}{2}
2
1
(c)
2
3
\frac{2}{3}
3
2
(d)
8
3
\frac{8}{3}
3
8
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