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What is the invers function of f(x)=(n+1)^3?

1 Answer

5 votes

Answer:


f^(-1)(x)=\sqrt[3]{x}-1

Explanation:


f(x)=(x+1)^3\\\\y=(x+1)^3\\\\x=(y+1)^3\\\\\sqrt[3]{x}=y+1\\\\y=\sqrt[3]{x}-1\\ \\f^(-1)(x)=\sqrt[3]{x}-1

Graphing both inverses, they will be symmetrical about the line
y=x.

User Gilles Criton
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