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8 September, 06:53

Find f^-1 (x) for f (x) = 1/x^3 and state whether or not it is a function.

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  1. 8 September, 08:54
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    To find the inverse of a function, switch the x and y (the f (x) = y) then solve for y.

    x = 1 / (y^3)

    xy^3 = 1

    y^3 = 1/x

    f^-1 (x) = y = 1/x^ (1/3)

    Note: 1/3 power is the same as cube root.

    Yes it is a function
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