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3 March, 11:34

Determine the equation of the inverse of y=1/4x^3-2

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  1. 3 March, 11:44
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    Answer

    y⁻¹ = ∛ (4x+8)

    Explanation

    y = (1/4) x³ - 2.

    To find the inverse of this equation, you first make x the subject of the formular.

    y = (1/4) x³ - 2

    Multiply both sides by 4;

    4y = x³ - 8

    Add 8 on both sides of the equation;

    4y + 8 = x³

    x³ = 4y + 8

    Apply the cube root on both sides to get the value of x;

    x = ∛ (4y+8)

    The inverse of y = (1/4) x³ - 2 is;

    y⁻¹ = ∛ (4x+8)
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