If , and , the value of (where is the greatest integer function), is…

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

f^2(x) \cdot f\left(\frac{1-x}{1+x}\right) = x^3

[x \neq -1, 1]

and

f(x) \neq 0

, the value of

[[f(-2)]]

(where

[\cdot]

is the greatest integer function), is .....