AlgebraStudy Notes

Worked Example 1: Composite Functions with Values

Part of Composite Functions — GCSE Mathematics

This study notes covers Worked Example 1: Composite Functions with Values within Composite Functions for GCSE Mathematics. Revise Composite Functions in Algebra for GCSE Mathematics with 14 exam-style questions and 12 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 4 of 7 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 4 of 7

Practice

14 questions

Recall

12 flashcards

Worked Example 1: Composite Functions with Values

f(x) = x² and g(x) = x + 3. Find: a) fg(2) b) gf(2)

Part a fg(2) - do g first, then f

First find g(2): g(2) = 2 + 3 = 5

Then find f(5): f(5) = 5² = 25

Part b gf(2) - do f first, then g

First find f(2): f(2) = 2² = 4

Then find g(4): g(4) = 4 + 3 = 7

Practice Questions for Composite Functions

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

Worked Example 1: Composite Functions with Values

Worked Example 1: Composite Functions with Values

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Practice Questions for Composite Functions

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