Math Problem Statement
Verify that your equation is correct by showing that f(f^-1(x)) = x and f^-1(f(x)) = x cuberoot x-9
Solution
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Math Problem Analysis
Mathematical Concepts
Inverse Functions
Cube Roots
Function Composition
Formulas
f(x) = \sqrt[3]{x - 9}
f^{-1}(x) = x^3 + 9
f(f^{-1}(x)) = x
f^{-1}(f(x)) = x
Theorems
Properties of Inverse Functions
Function Composition
Suitable Grade Level
Grades 10-12