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10 March, 20:25

If f (x) = (x-1) / (x+1), evaluate f^-1 ((1/c) + 1)

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  1. 10 March, 20:45
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    A-1 = a ((1/c) + 1) + 1hello:

    f (a) = b ... a = f^-1 (b)

    in this exercice : b = (1/c) + 1

    solve equation:

    f (a) = (1/c) + 1

    (a-1) / (a+1) = (1/c) + 1

    a-1 = (a+1) ((1/c) + 1)

    a - a ((1/c) + 1) = 2

    a (1 - (1/c) - 1) = 2

    a = ((-1-2c) / c) / 2

    f^-1 ((1/c) + 1) = (-1-2c) / 2c
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