Final answer:To find the inverse of the function f(x) = x³ - 3, swap the x and y variables and solve for y using the necessary steps.Explanation:To find the inverse of the function f(x) = x³ - 3, we need to swap the x and y variables and solve for y.Start by replacing f(x) with y: y = x³ - 3.Then, swap x and y: x = y³ - 3.Next, solve for y by rearranging the equation:y³ = x + 3y = (x + 3)^(1/3)Therefore, the inverse function is f^(-1)(x) = (x + 3)^(1/3)....

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