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Mathematics
Problem
Let
f
(
x
)
=
x
2
+
x
−
1
x
2
−
x
+
1
f(x) = \frac{x^2 + x - 1}{x^2 - x + 1}
f
(
x
)
=
x
2
−
x
+
1
x
2
+
x
−
1
, then the largest value of
f
(
x
)
f(x)
f
(
x
)
for all
x
∈
[
−
1
,
3
]
x \in [-1, 3]
x
∈
[
−
1
,
3
]
is: (a)
3
5
\frac{3}{5}
5
3
(b)
5
3
\frac{5}{3}
3
5
(c)
1
1
1
(d)
4
3
\frac{4}{3}
3
4
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