For the function f(x)=sqrt[3]{x}+4, find f^{-1}(x).

Question

Accepted Answer

Step:1 ：Given function: (y = sqrt[3]{x} + 4)Step:2 ：Swap x and y: (x = sqrt[3]{y} + 4)Step:3 ：Solve for y: (y = (x - 4)^3)Step:4 ：Final Answer: (boxed{f^{-1}(x) = (x - 4)^3})

Answer

Step: 1 ：Given function: (y = sqrt[3]{x} + 4)Step: 2 ：Swap x and y: (x = sqrt[3]{y} + 4)Step: 3 ：Solve for y: (y = (x - 4)^3)Step: 4 ：Final Answer: (boxed{f^{-1}(x) = (x - 4)^3})

For the function $f (x) = \sqrt[3]{x} + 4$ , find $f^{- 1} (x)$ .

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Popular Problems

For the function f(x)=x3+4, find f−1(x).

Answer

Popular Problems

For the function $f (x) = \sqrt[3]{x} + 4$ , find $f^{- 1} (x)$ .