Math Problem Statement
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Solution
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Math Problem Analysis
Mathematical Concepts
Composition of Functions
Quadratic Functions
Substitution
Formulas
f(x) = 4x^2 - 3
g(x) = 3 - (1/2)x^2
(f ∘ g)(x) = f(g(x))
(g ∘ f)(x) = g(f(x))
Theorems
Function Composition
Suitable Grade Level
Grades 9-11