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15 March, 09:44

Find a formula for the inverse of the function. f (x) = 1-2/x^3.

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  1. 15 March, 11:35
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    f (x) = 1 - ²/ₓ₃

    y = 1 - ²/ₓ₃

    y = 1 - ²/ₓ₃

    y - 1 = ⁻²/ₓ₃

    x - 1 = - 2/y³

    y³ (x - 1) = - 2

    y³ = ⁻²/ₓ₋₁

    y = ∛⁻²/ₓ₋₁

    y = - ∛ (2x² - 4x + 2) / x - 1

    f⁻¹ (x) = - ∛ (2x² - 4x + 2) / x - 1
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