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What is the inverse of the function F(x) = (2+7x) / (3-4X)?

Update:

Thanks ale-23. You dropped the 7 in step 3 but your solution steps make perfect sense.

1 Answer

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  • ale_23
    Lv 7
    1 decade ago
    Favorite Answer

    F(x) = (2+7x) / (3-4X)

    y = (2+7x) / (3-4X)

    y(3-4X) = (2+7x)

    3y - 4xy = 2 + x

    3y - 2 = x + 4xy

    3y - 2 = x(1 + 4y)

    (3y - 2) / (1 + 4y) = x

    --> f-1(x) = (3x - 2) / (1 + 4x)

    Alejandra

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