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ATARMAxxing · WACE Mathematics Specialist revision notes

Composition of functions: when f(g(x)) is defined, its domain and range

Functions
Functions · Topic 3.2: Functions and sketching graphs

What this note covers

  1. What composition means
  2. Finding the domain of a composite
  3. Finding the range of a composite
  4. Rational and reciprocal compositions
  5. Decomposing and building functions
  6. Exam technique for composition questions

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

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WACE Mathematics Specialist · revision note 5 of 20

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