Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Function Composition
Algebra

Formulas

f(g(x)) = 6x^2 + 42
g(f(x)) = 36x^2 + 72x + 42
f(f(x)) = 36x + 42
g(g(x)) = x^4 + 12x^2 + 42

Theorems

-

Suitable Grade Level

High School (Grades 9-12)