AlgebraHigh Exam FrequencyAQAEdexcelOCRWJEC

Composite Functions

Revise Composite Functions in Algebra for GCSE Mathematics with 14 exam-style questions and 12 flashcards. This is a high-frequency exam topic, so students should expect to explain it clearly under timed conditions.

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Chaining Functions Together

Introduction 2

Key Facts

Key Facts 3

Method: Finding Composite Functions

Deep Dive 4

Worked Example 1: Composite Functions with Values

Notes 5

Worked Example 2: Composite Function Expressions

Notes 6

Worked Example 3: Showing Order Matters

Notes 7

Common Mistakes to Avoid

Exam Tips

Sample Flashcards

What does fg(x) mean?

fg(x) = f(g(x)): apply g first (inner function), then apply f to the result. Do the function closest to x first.

What is a composite function?

A function formed by chaining two functions together. The output of one function becomes the input of the next.

Sample Questions

The composite function fg(x) means: A) Apply g first, then apply f to the result B) Apply f first, then apply g to the result C) Multiply f(x) by g(x) D) Add f(x) to g(x)

A. Apply g first, then apply f to the result
B. Apply f first, then apply g to the result
C. Multiply f(x) by g(x)
D. Add f(x) to g(x)

1 markfoundation

Explain why, in general, fg(x) and gf(x) are NOT equal. You may use an example to support your explanation.

2 marksfoundation

exam-style questions

revision flashcards

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