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If f(x) = x^3 + 1, find f^{-1}(2010).

 Feb 17, 2022
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If f(x) = x^3 + 1, find f^{-1}(2010).

 

Let

\(y=x^3+1\\ y-1=x^3\\ x=\sqrt[3]{y-1}\\ so\; if\\ f(x)=x^3+1\\ f^{-1}(x)=\sqrt[3]{x-1}\\ f^{-1}(2010)=\sqrt[3]{2010-1}\\ f^{-1}(2010)=\sqrt[3]{2009}\\ \)

 Feb 17, 2022

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