函数f(x) =log1/2∧(1-x)(x
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函数f(x) =log1/2∧(1-x)(x
函数f(x) =log1/2∧(1-x)(x
函数f(x) =log1/2∧(1-x)(x
y=log1/2(1-x)
1-x=(1/2)^y
x=1-1/2^y
所以反函数是f(-1)(x)=1-1/2^x
解:因为f(x)=log1/2^(1-x),所以x=1-(1/2)^f(x)=1-1/2^f(x),所以f(x)=log1/2^(1-x)的反函数为f(x)=1-1/2^x,所以f^(-1)x=1/(1-1/2^x)=1/(2^x/2^x-1/2^x)=1/(2^x-1)/2^x=2^x/(2^x-1)