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What is the inverse of the cubed root of (x^2 - 4) ?

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What is the inverse of the cubed root of (x^2 - 4) ?

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  1. If y = cbrt(x^2 - 4), then switching x and y:

    x = cbrt(y^2 - 4)

    y^2 - 4 = x^3

    y^2 = x^3 + 4

    y = sqrt(x^3 + 4).

    The inverse is sqrt(x^3 + 4).

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