Fill in the blank to correctly complete the sentence below. If f(x)=x^{3}, then f^{-1}(x)=square.

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Accepted Answer

Step:1 ：Start with the function (f(x) = x^{3}).Step:2 ：Rewrite it as (y = x^{3}).Step:3 ：Switch (x) and (y) to get (x = y^{3}).Step:4 ：Solve for (y) by taking the cube root of both sides to get (y = sqrt[3]{x}).Step:5 ：(boxed{f^{-1}(x) = sqrt[3]{x}}) is the inverse function.

Answer

Step: 1 ：Start with the function (f(x) = x^{3}).Step: 2 ：Rewrite it as (y = x^{3}).Step: 3 ：Switch (x) and (y) to get (x = y^{3}).Step: 4 ：Solve for (y) by taking the cube root of both sides to get (y = sqrt[3]{x}).Step: 5 ：(boxed{f^{-1}(x) = sqrt[3]{x}}) is the inverse function.

Fill in the blank to correctly complete the sentence below. If $f(x)=x^{3}$, then $f^{-1}(x)=\square$.

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