calculus

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

f(x)=In(x+1)+1
Please show work

  • calculus -

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

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

    solving for y ....
    y+1 = e^(x-1)
    y = e^(x-1) - 1
    or
    f^-1 (x) = e^(x-1) - 1

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