Give your students the tools to prove when two functions are truly inverses. In this lesson, students move beyond simply โfinding the inverseโ and learn the formal definition: two functions are inverses if both compositions simplify to x. The lesson highlights a common misconception that checking only one composition or comparing formulas is enough, and replaces it with a reliable algebra-based method. Students will work through two examples, one with linear functions and one with rational functions, to see how the composition test confirms whether functions undo each other.
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