Y=log2 (X-1)/(X+1)求其反函数

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Y=log2 (X-1)/(X+1)求其反函数
Y=log2 (X-1)/(X+1)
求其反函数

Y=log2 (X-1)/(X+1)求其反函数
Y=log2 (X-1)/(X+1)
2^Y=(X-1)/(X+1)
2^Y+1=(X-1)/(X+1)+1=2X/(X+1)
2^Y-1=(X-1)/(X+1)-1=-2/(X+1)
(2^Y+1)/(2^Y-1)=-X
反函数为：
y=-(2^x+1)/(2^x-1)