Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Composite Functions
Domain of Functions
Square Roots
Quadratic Functions
Formulas
(f ∘ g)(x) = √(g(x) - 1)
g(x) = x^2 - 8
(f ∘ g)(x) = √(x^2 - 9)
Theorems
For √(x) to be defined, x must be non-negative (x ≥ 0)
Solving quadratic inequalities to find the domain
Suitable Grade Level
Grade 10-12
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