Composition and Inverse of Functions
Function composition connects mappings in sequence, modeling data-processing pipelines and nested function calls.
Summary
Function composition connects mappings in sequence, modeling data-processing pipelines and nested function calls. For and , the composition satisfies : the rightmost function acts first. Compatible domains and codomains determine which stages can connect.
🧠 Key Concepts
- Function composition
- Domain compatibility
- Associativity
- Noncommutativity
- Injectivity
- Surjectivity
- Bijectivity
- Identity functions
- Inverse composition
🧠 Quick Check
See what you remember from the summary.
For integer functions and , what is ?
🧠 Flashcards Preview
Tap a card to reveal the definition.
Ready to quiz yourself?
Test what you remember with a full practice quiz on this note. Create a free account and start in seconds.
Full Notes
Read the original note content before deciding whether to save or study from it.
Composition and Inverse of Functions
📘 Overview Function composition combines mappings by applying one function to the output of another. An inverse reverses a function exactly when the original function is bijective between its stated domain and codomain.
🧠 Key Idea Composition applies functions from right to left. Reversing a composition requires invertible functions and applies their inverses in the opposite order.
⚔️ Core Details: - For and
More ways to study when you copy this note
Copy this note into your library to unlock focused practice sessions and long-term review.
Answer all questions first, then see feedback at the end — the way real exams work.
Focuses each session on what you got wrong, not what you already know.
Full timed exam with all questions, no pausing, and results at the end. Built for board exam prep.
Part of 🌱 BSCS Year 1 — Computing & College Foundations
Browse this Review Set →More Computer Engineering notes
See all →More in Discrete Mathematics
See all →More from NoteLib
Browse NoteLib's public notes →Copy this note to your library and get the full Study Pack instantly — summary, key concepts, and practice quiz included.