Y=ln【(x+√(x²+1)】x+√(x²+1) = e^y√(x²+1) = e^y - xx²+1 = (e^y - x)²x²+1 = e^2y - 2xe^y+x²1 = e^2y - 2xe^y2xe^y = e^2y - 1x = (e^2y-1)/(2e^y) = e^y/2 - 1/{2e^y)即,反函数:y = e^x/2 - 1/{2e^x)
简单计算一下,答案如图所示