函数y=1+ln(x-1)(x＞1)的反函数是[ ]

A．y=e^x+1-1(x＞0)

B．y=e^x-1+1(x＞0)

C．y=e^x+1-1(x∈R)

D．y=e^x-1+1(x∈R)