Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Function Composition
Square Roots
Quadratic Functions
Formulas
(f ∘ g)(x) = f(g(x))
(g ∘ f)(x) = g(f(x))
√(x^2 + 4) - 8
(√x - 8)^2 + 4
Theorems
Definition of Function Composition
Suitable Grade Level
Grades 9-12
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Find g(x) such that (f ∘ g)(x) = x + 8 for f(x) = x^2 + 4