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Mathematics
Mathematics
Problem
If
f
2
(
x
)
⋅
f
(
1
−
x
1
+
x
)
=
x
3
f^2(x) \cdot f\left(\frac{1-x}{1+x}\right) = x^3
f
2
(
x
)
⋅
f
(
1
+
x
1
−
x
)
=
x
3
,
[
x
≠
−
1
,
1
]
[x \neq -1, 1]
[
x
=
−
1
,
1
]
and
f
(
x
)
≠
0
f(x) \neq 0
f
(
x
)
=
0
, the value of
[
[
f
(
−
2
)
]
]
[[f(-2)]]
[[
f
(
−
2
)]]
(where
[
⋅
]
[\cdot]
[
⋅
]
is the greatest integer function), is .....
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