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30 September, 02:03

Find the inverse of the following function f (x) = cubed root of x+12

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  1. 30 September, 02:11
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    It's been a while but I'm pretty sure you swap the variables. So for simplicity in my steps I'm replacing f (x) with y. So you start with y=cube root of x+12

    First you need to swap variables so the equation is now x = cube root of y+12

    Then you need to remove the cube root by cubing each side which gives you x^3 = y+12

    Then subtract 12 from both sides giving you x cubed - 12 = y

    Finally you must replace the y with f^-1 (x) to show it's an inverse so the inverse is f^-1 (x) = x cubed - 12 or if you're using y, it would be y = x cubed - 12
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