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14 August, 05:10

Find the inverse of f (x) = - 4/x-1 + 2

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  1. 14 August, 05:29
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    The inverse f-1 (x) = (2 - x) / 4 + 1.

    Step-by-step explanation:

    Let y = - 4 / (x - 1) + 2

    -4 / (x - 1) = y - 2

    x - 1 = (y - 2) / - 4

    x = - (y - 2) / 4 + 1

    x = (2 - y) / 4 + 1

    Now replace x by f-1 (x) (the inverse) and y by x:

    f-1 (x) = (2 - x) / 4 + 1.
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