Study guide
H2 Maths Functions Notes | Domains, Inverses & Composites
In one line
H2 Maths functions notes: step-by-step solutions for domains, ranges, inverse functions, and composite functions with exam techniques.
Reviewed by
Marcus Pang·Managing Director (Maths)
Want small-group support? Browse our A-Level Maths Tuition hub. Not sure which level to start with? Visit Maths Tuition Singapore.
Planning a revision session? Use our study places near me map to find libraries, community study rooms, and late-night spots.
Read in layers
1 second
Read the summary above.
10 seconds
Scan the first few sections below.
100 seconds
Jump into the section that matches your decision.
- Quick functions map
- Core Concepts
- Domain and Range Workflow
- Inverse Functions
Q: What does H2 Maths Notes (JC 1-2): 1.1) Functions cover?
A: Domains, ranges, inverse checks, and composite workflows for Section A Topic 1.1 of the 2026 H2 Maths syllabus.
Before you revise
Keep a running list of domain restrictions (denominators, even roots, logarithms). Test every claim with quick substitutions or GC trace-functions questions are marked on precision.
Quick functions map
| If you have... | Walk away with this | First action |
| 1 second | A function needs valid inputs and outputs. | State the domain. |
| 10 seconds | Inverses need one-to-one behaviour. | Restrict the domain before finding the inverse. |
| 100 seconds | Composite functions carry restrictions through each layer. | Check the inner function's range against the outer function's domain. |
Concrete example: For
