← GSEB Class 12
Relations and Functions
Chapter Overview
Reflexive, symmetric, transitive, and equivalence relations. Composition of functions, invertible functions. Binary operations on sets with properties like commutativity, associativity.
Topics Covered
- Relation Types
- Equivalence Relations
- Function Composition
- Inverse Functions
- Binary Operations
Key Formulas
(fog)(x) = f(g(x))
f^-1(y) = x iff f(x) = y
Real-World Applications
Applications: Classification systems, programming function composition.
Study Tips
Tip: Understand equivalence classes thoroughly
Tip: Practice GSEB board exam questions