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Algebraic Structures and Proof · Autumn Term

Composite Functions and Their Domains

Investigating the formation of composite functions and determining their valid domains and ranges.

Key Questions

  1. Explain how the domain of the inner function affects the domain of the composite function.
  2. Analyze the impact of function order on the resulting composite function.
  3. Construct a composite function from two given functions and specify its domain.

National Curriculum Attainment Targets

A-Level: Mathematics - Algebra and Functions
Year: Year 13
Subject: Mathematics
Unit: Algebraic Structures and Proof
Period: Autumn Term

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