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we can write f(x) = y = 12 -4x^3

Changing x and y, we get x = 12-4y^3

Or, 4y^3 = 12-x

Or, y^3 =(12-x)/4 = 3-0.25x

Or, y = (3-0.25x)^(1/3)

Hence f^-1(x) = (3-0.25x)^(1/3) Ans.

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