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18 August, 14:52

What is the inverse of [tex] x^{2} - 2?

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  1. 18 August, 15:31
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    Assuming you want the inverse of f (x) = x²-2,

    f (x) = x²-2

    repalce f (x) with y

    y=x²-2

    switch x and y

    x=y²-2

    solve for y

    x=y²-2

    x+2=y²

    √ (x+2) = y

    replace y with f⁻¹ (x)

    f⁻¹ (x) = √ (x+2)

    the inverse is √ (x+2)
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