Answer
$f^{-1}(x)=\sqrt[3] {\frac{x+7}{10}}$
Work Step by Step
$f(x)=10x^3-7$
$x=10y^3-7$
$x+7=10y^3$
$\sqrt[3] {\frac{x+7}{10}}=y$
$f^{-1}(x)=\sqrt[3] {\frac{x+7}{10}}$
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