Question

y=In(x+SQR(x^2+1)) 求它的反函数

Answer 1

y=In(x+SQR(x^2+1))

exp(y)=x+SQR(x^2+1)

exp(y)-x=SQR(x^2+1)

exp(2y)+x^2-2*exp(y)*x=x^2+1

exp(2y)=1+2*exp(y)*x

[exp(2y)-1]/[2*exp(y)]=x