Composite Function (f ∘ g) Course
This course provides a thorough mastery of composite functions (f ∘ g), emphasising clear domain analysis, algebraic manipulation techniques, and practical modelling examples. Participants will develop the ability to produce rigorous, exam-ready solutions and confidently interpret compositions in real mathematical contexts.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
Master composite functions step by step in this focused course on (f ∘ g). Learn precise notation, domain analysis, and the importance of order. Practice computing and simplifying compositions with polynomials, roots, rationals, exponentials, and logarithms. Develop skills in decomposing functions, writing clear solutions, and modelling real-world scenarios with justified composed expressions.
Elevify advantages
Develop skills
- Master composition domains: compute f∘g and g∘f, justifying restrictions swiftly.
- Compute and simplify compositions: handle polynomials, rationals, and radicals effortlessly.
- Decompose functions into f and g: design, verify, and compare valid decompositions.
- Model real processes using compositions: select domains, units, and ensure clear interpretations.
- Present solutions professionally: deliver neat algebra, domain justifications, and concise reports.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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