The Language of Functions and Continuity · Algebraic Thinking

Function Composition and Inversion

Analyzing how nested functions interact and the conditions required for a function to be reversible.

Key Questions

  1. 1How does the domain of a composite function reveal the hidden constraints of its components?
  2. 2In what ways does an inverse function reflect the symmetry of its original operation?
  3. 3When is it mathematically valid to restrict a domain to create an invertible function?

Common Core State Standards

CCSS.Math.Content.HSF.BF.B.4CCSS.Math.Content.HSF.BF.B.4.c
Grade: 12th Grade
Subject: Mathematics
Unit: The Language of Functions and Continuity
Period: Algebraic Thinking

Suggested Methodologies

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