General Concepts of Functions Course
Master domains, ranges, injectivity, surjectivity, inverses, and function composition in this course designed for mathematicians seeking precise proofs, superior notation, and reduced errors in practical problem-solving.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course provides a practical toolkit for domain, codomain, image, and preimage, covering implicit restrictions and interval preimages. Master notation, composition, injectivity, surjectivity, and inverses via linear, quadratic, and reciprocal examples, enhancing written explanations, error checking, and structured solutions.
Elevify advantages
Develop skills
- Master domains and ranges: compute, restrict, and justify for principal function types.
- Test injectivity, surjectivity, and invertibility with rigorous algebraic proofs.
- Compute and interpret function compositions, domains, and sequential transformations.
- Evaluate linear, quadratic, and reciprocal functions swiftly with sound reasoning.
- Produce precise, readable solutions employing exemplary notation and explanations.
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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