Math Problem Statement
f(x)= x^(3)+6, g(x)= \root(3)(x-6) Find
(f ∘ g)(x)
and
(g ∘ f)(x).
Solution
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Math Problem Analysis
Mathematical Concepts
Function Composition
Algebra
Cube Roots
Exponents
Formulas
(f ∘ g)(x) = f(g(x))
(g ∘ f)(x) = g(f(x))
(\sqrt[3]{x})^3 = x
x^3 = \sqrt[3]{x^3}
Theorems
Composition of Functions
Properties of Cube Roots and Exponents
Suitable Grade Level
Grades 10-12
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