Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Function evaluation
Function composition
Algebra

Formulas

f(x) = 2x + 3
g(x) = x^2 - 2x
f(g(x)) and g(f(x))

Theorems

Composition of functions: (g ∘ f)(x) = g(f(x))
Order of operations in function composition

Suitable Grade Level

Grades 10-12