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SACE Specialist Mathematics exam: Tue 10 Nov, 9:00am — 31 days away

ATARMAxxing · SACE Specialist Mathematics revision notes

Composition of functions and its domain

Composition of functions and its domain
Topic 3: Functions and sketching graphs · Subtopic 3.1: Composition of functions

What this note covers

  1. Forming a composition
  2. Square-root domains
  3. Reciprocal restrictions
  4. Range-to-domain condition
  5. Three-function compositions
  6. Solving composition equations
  7. Composition domain clinic: every inner output must be admissible
  8. Composition equations, alternate orders and range-to-domain reasoning

8 sections · 10 key terms & formulas · 6 common mistakes

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SACE Specialist Mathematics · revision note 6 of 20

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