precalculus

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find the inverse of function f(x)=4-2ln(x+1). state domain, range and any asymptotes of both

  • precalculus -

    f(x) or y = 4-2ln(x+1)
    domain: x > -1
    range : y is any real number
    asymptote: x = -1

    for the inverse:
    interchange x and y variables
    x = 4 - 2ln(y+1)
    2ln(y+1) = 4-x
    ln (y+1) = (4-x)/2
    y+1 = e^((4-x)/2)
    y = e^((4-x)/2) - 1

    domain: x is any real number
    range y > -1
    asymptote : y = -1

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