Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Functions
Domain and Range
Inverse Function
Injective Functions
Formulas
f(x) = (2 - x) / sqrt(3 - x)
Condition for the square root: sqrt(3 - x) requires x ≤ 3
Denominator condition: sqrt(3 - x) ≠ 0, thus x ≠ 3
Theorems
Properties of injective (one-to-one) functions
Suitable Grade Level
College-level mathematics (Calculus or Precalculus)