(1)y(1+x)=1-x,x=(1-y)/(1+y),所以反函数为y=(1-x)/(1+x).
(2)sin3x=y/2,3x=arcsin(y/2),x=(1/3)arcsin(y/2),反函数为y=(1/3)arcsin(x/2),定义域为【-2,2】
(3)ln(x+2)=y-1,x+2=e^(y-1),x=e^(y-1)-2,y=e^(y-1)-2.
(4)y(2^x+1)=2^x,2^x=y/(1-y),x=log2(y/(1-y)),y=log2(x/(1-x))
(1)y(1+x)=1-x,x=(1-y)/(1+y),所以反函数为y=(1-x)/(1+x).
(2)sin3x=y/2,3x=arcsin(y/2),x=(1/3)arcsin(y/2),反函数为y=(1/3)arcsin(x/2),定义域为【-2,2】
(3)ln(x+2)=y-1,x+2=e^(y-1),x=e^(y-1)-2,y=e^(y-1)-2.
(4)y(2^x+1)=2^x,2^x=y/(1-y),x=log2 (y/(1-y)),y=log2 (x/(1-x))
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