AlgebraExam Tips

Common Mistakes to Avoid

Part of Composite Functions — GCSE Mathematics

This exam tips covers Common Mistakes to Avoid 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 7 of 7 in this topic. Treat this as a marking guide for what examiners are looking for, not just a fact list.

Topic position

Section 7 of 7

Practice

14 questions

Recall

12 flashcards

Common Mistakes to Avoid

✗ Getting the order wrong ✓ fg(x) means do g first, then f The function closest to x is done first

✗ Thinking fg(x) = gf(x) ✓ Order usually matters - they're different Different order gives different results

✗ Confusing fg(x) with f(x) × g(x) ✓ Composite means "function of function" It's substitution, not multiplication

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

Common Mistakes to Avoid

Common Mistakes to Avoid

Keep building this topic

Practice Questions for Composite Functions

Quick Recall Flashcards

Want to test your knowledge?