设f(x)=1nx且函数φ(x)的反函数φ-1(x)=(x-1)/(x+2),则φ[f(x)]
(2lnx+1)/(1-lnx) 分析:由y=φ-1(x)=(x-1)+(x+2)得yx+2y=x-1,x=(2y+1)/(1-y),故φ(x)=(2x+1)/(1-x),所以φ[f(x)]=(2lnx+1)/(1-lnx).
设f(x)=1nx且函数φ(x)的反函数φ-1(x)=(x-1)/(x+2),则φ[f(x)]
(2lnx+1)/(1-lnx) 分析:由y=φ-1(x)=(x-1)+(x+2)得yx+2y=x-1,x=(2y+1)/(1-y),故φ(x)=(2x+1)/(1-x),所以φ[f(x)]=(2lnx+1)/(1-lnx).