find the inverse of the following function. find the domain, range and asymptotes of each.

f(x)=In(x+1)+1

please show work.

original:

y = ln(x+1) + 1

inverse:
x = ln(y+1) + 1

solving for y .....

x-1 = ln(y+1)
y+1 = e^(x-1 , by definition

y = e^(x-1) - 1 <----- your inverse