Math Problem Statement
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Solution
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Math Problem Analysis
Mathematical Concepts
Domain of Functions
Range of Functions
Function Composition
Inverse Functions
Formulas
Domain of f(x) = 2/(x-7): x ≠ 7
Domain of f(x) = √x: x ≥ 0
Range of f(x) = 1/x: y ≠ 0
Composition of Functions: (f ∘ g)(x) = f(g(x))
Inverse Function: f⁻¹(x)
Theorems
Domain and Range Theorems
Composition of Functions
Inverse Function Theorem
Suitable Grade Level
Grades 9-12
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