Composite Function (f ∘ g) Course
This course builds strong skills in composite functions (f ∘ g), focusing on domain analysis, simplification techniques for various function types, decomposition, and practical applications. Learners will create precise, exam-ready solutions and confidently apply compositions to model real scenarios with proper justification and clarity.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain mastery in composite functions (f ∘ g) through step-by-step guidance. Cover notation, domain checks, order importance, and computations with polynomials, roots, rationals, exponentials, and logs. Develop skills in function decomposition, neat solution writing, and real-world modelling using justified compositions.
Elevify advantages
Develop skills
- Master composition domains: quickly compute f∘g and g∘f while justifying restrictions.
- Easily compute and simplify compositions of polynomials, rationals, and radicals.
- Decompose functions into f and g components: design, verify, and compare decompositions.
- Model real-world processes using compositions with appropriate domains and units.
- Present professional solutions featuring clear algebra, domain proofs, and concise reports.
Suggested summary
Before starting, you can change the chapters and 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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