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Answer:
[tex]f^{-1}(x)=(x-1)^3[/tex]
Step-by-step explanation:
[tex]y=\sqrt[3]{x} +1\\\\exchanging \ x \ and\ y\\\\x=\sqrt[3]{y} +1\\\\finding \ y\\\\\sqrt[3]{y}=x-1\\\\y=(x-1)^3[/tex]