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      • Unit 0 - Simultaneous Equations
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Unit 12 - Composite and Inverse Functions

Unit Objectives
Prior Knowledge:
  • Use function machines and equations to map a set of numbers to another set of numbers and generate coordinate pairs. Draw mapping diagrams.
  • Understand and use the notation of functions
  • Understand the terms domain and range
  • Use a GDC to:
·           Sketch the graph of a function
·           Produce a table of values
·           Find zeros (roots) of functions
·           Find maxima or minima of functions
·           Find intersections of graphs of functions

Extended IGCSE learning objectives. Students should be able to:
  • Find composite functions (Video 12.01) (Video 12.02)
  • Find inverse functions (Video 12.03) (Video 12.04) (Video 12.05)
  • Solve equations involving composite or inverse functions (Video 12.06)
Lesson Resources​
0. Composite and Inverse Functions Work Booklet
Composite and Inverse Booklet
1. Function Notation
Lesson
2. Composite Functions
Lesson
3. Inverse Functions
Lesson
4. UNIT REVIEW
Lesson
For a whole range of mathematical activities for use in and out of the classroom, including random question generators, Bingo generators and worksheet generators, as well as computer based investigations and activities check out my main site: www.interactive-maths.com.

​If you are interested in codes, ciphers and codebreaking, then check out my secondary site, Crypto Corner, dedicated to providing information about all types of ciphers, as well as tools for encrypting, decrypting and breaking messages.
  • Home
  • IGCSE
    • IGCSE Unit Resources >
      • Unit 0 - Simultaneous Equations
      • Unit 0 - Regression
      • Unit 1 - Percentages
      • Unit 2 - Sets
      • Unit 2 - Graphs and GDC
      • Unit 3 - Indices and Surds
      • Unit 4 - Circle Theorems
      • Unit 5 - Formulae
      • Unit 6 - Vectors
      • Unit 7 - Quadratic Equations
      • Unit 8 - Tree Diagrams
      • Unit 9 - Coordinate Geometry
      • Unit 10 - Sequences
      • Unit 11 - Statistical Diagrams
      • Unit 12 - Composite and Inverse Functions
      • Unit 13 - Similarity
      • Unit 14 - Variation
      • Unit 15 - Algebraic Fractions
      • Unit 16 - Advanced Trigonometry
      • Unit 17 - Quadratic Functions
      • Unit 18 - Volumes and Surface Area
      • Unit 19 - Graphs
      • Unit 20 - Logarithms
      • Unit 21 - Transforming Graphs
    • IGCSE Revision Materials
  • IB
    • Mathematics AI SL >
      • AISL Unit Resources >
        • Unit 1 - Number and Algebra
        • Unit 2 - Statistics
        • Unit 3 - Geometry and Trigonometry
        • Unit 4 - Functions and Modelling
        • Unit 5 - Calculus
        • Unit 6 - Probability
      • AISL Revision Materials
    • Mathematics AA SL >
      • AASL Unit Resources >
        • Unit 0 - Proof
        • Unit 1 - Algebra Functions Basics
        • Unit 2 - Functions, Equations and Inequalities
        • Unit 3 - Sequences and Series
        • Unit 4 - Exponentials and Logarithms
        • Unit 5 - Trigonometric Functions and Equations
        • Unit 6 - Differentiation 1
        • Unit 7 - Statistics
        • Unit 8 - Probability
        • Unit 9 - Mensuration
        • Unit 10 - Differentiation 2
        • Unit 11 - Integration
      • AASL Revision Materials
      • AASL Key Skills Generator
    • Mathematics AA HL >
      • AAHL Unit Resources >
        • Unit 1 - Number and Algebra
        • Unit 2 - Functions
        • Unit 3 - Geometry and Trigonometry
        • Unit 4 - Differential Calculus
        • Unit 5 - Integral Calculus
        • Unit 6 - Statistics
        • Unit 7 - Probability
        • Unit 8 - Limits and Differential Equations
        • Unit 9 - Vectors
        • Unit 10 - Complex Numbers
      • AAHL Revision Materials
    • IB Legacy Courses >
      • Mathematical Studies >
        • MSSL Unit Resources >
          • Unit 1 - Number Review
          • Unit 2 - Sequences and Series
          • Unit 3 - Statistics 1
          • Unit 4 - Functions 1
          • Unit 5 - Trigonometry and Mensurations
          • Unit 6 - Functions 2
          • Unit 7 - Statistics 2
          • Unit 8 - Differentiation
          • Unit 9 - Sets and Probability
          • Unit 10 - Functions 3
          • Unit 11 - Financial Maths
          • Unit 12 - Statistics 3
          • Unit 13 - Logic
        • IB Studies Revision Homework
        • MSSL Revision Materials
        • Studies Exam Question Practice
      • Mathematics Higher Level >
        • HL Unit Resources >
          • Unit 1 - Algebra
          • Unit 2 - Functions & Equations
          • Unit 3 - Trigonometry
          • Unit 4 - Exponentials and Logarithms
          • Unit 5 - Statistics and Probability
          • Unit 6 - Differential Calculus
          • Unit 7 - Discrete Probability Distributions
          • Unit 8 - Integral Calculus
          • Unit 9 - Continuous Probability Distributions
          • Unit 10 - Complex Numbers
          • Unit 11A - Statistics Option
          • Unit 11B - Sets and Groups Option
          • Unit 12 - Vectors
        • HL Revision Materials >
          • HL Weekly Quizzes