Algebra 2 Functions Bundle Composite Inverse & Domain Worksheets

Three worksheets on functions. The following topics are covered: domain of a function, composite functions and inverse functions. Detailed solutions are included. Good for GCSE/IGCSE students.

Are you looking for a no-prep algebra functions worksheets pack? This comprehensive maths practice resource features 3 highly structured worksheet booklets covering composite functions, inverse functions, and finding the domain of functions. Packed with rigorous problems and multi-step equations, it is perfect for A-Level Maths, Core Maths, Key Stage 5 (KS5) lesson starters, independent booklets, or exam revision!

Take the stress out of planning your algebraic functions unit! This targeted 3-worksheet Functions Pack guides students seamlessly through the essential algebraic operations required for advanced school maths fluency.
With dozens of comprehensive practice problems, this resource offers a clean, progressive climb in difficulty. Your students will move systematically from evaluating simple composite operations to tackling complex rational equations and radical function constraints.
Every single worksheet includes a fully worked-out, step-by-step solution key. This makes marking effortless for busy teachers and allows students to self-assess their mistakes line by line, complete with interval notation guides and interval sign-testing calculations!

🎯 What is Included in This 3-Worksheet Pack?
• Worksheet 1: Composite Functions (14 Multi-Part Problems) – Master calculating numerical values for fg(x) and gf(x), evaluating operations containing variables, and managing nested polynomial combinations.
• Worksheet 2: Domain of a Function (20 Problems) – Focuses heavily on finding constraints, managing denominators, evaluating radicals, and writing final answers cleanly using interval notation.
• Worksheet 3: Inverse Functions (30 Comprehensive Problems) – Practice finding the mathematical inverse for linear equations, complex rational functions, cubics, and radical setups, plus multi-step algebraic steps.
• Complete Step-by-Step Answer Keys – Fully solved sheets showing exact algebraic switches, interval analysis tables, and finalised functional breakdowns.

🏫 Perfect Classroom Use Cases
• A-Level Maths end-of-unit revision or exam preparation
• Independent classroom practice booklets
• Small-group guided maths interventions or tutorials
• Extension homework assignments or weekly quizzes
• Emergency no-prep cover work / supply teaching plans

📏 Curriculum Standards Covered (UK National Curriculum & A-Level)
• A-Level Maths (Pure Mathematics): Understand and use the definition of a function, domain, and range. Find composite functions fg(x) and inverse functions f^-1(x), including the graphical relationship between a function and its inverse.
• Key Stage 5 (Algebra): Manipulate rational expressions, clear algebraic fractions, and isolate variables in non-linear configurations to modify functional subjects.