Question

函數(shù)y=的反函數(shù)是________（x∈R）.

Answer 1

解析：由2y=e^x-e^-x得e^2x-2ye^x-1=0.

解得e^x=

∵e^x＞0,

∴e^x=y+.

∴x=ln(y+).

∴f^-1（x）=ln(x+)(x∈R).

答案：f^-1(x)=ln(x+).