x

Function notation and inputs

Function machine with an input x going through f to output f(x), an inverse arrow taking the output back to x, and a composite chain x through f then g to give g(f(x)).

A function is a rule that gives exactly one output for each input. In $f (3)$ , the 3 is the input and the value you get after applying the rule is the output.

Inverse and Composite Functions Lesson

GCSE
Maths
Inverse and Composite Functions

Step-by-step lessons covering OCR GCSE Maths Inverse and Composite Functions for Foundation and Higher tier. Each lesson works through exam-style questions in the written papers format. Build fluency with number, ratio and algebra first, since geometry, probability and statistics topics rely on them, and leave extra time nearer the exam for Higher-tier problem-solving and multi-step reasoning questions.

Lessons

x

Function notation and inputs

Function machine with an input x going through f to output f(x), an inverse arrow taking the output back to x, and a composite chain x through f then g to give g(f(x)).

A function is a rule that gives exactly one output for each input. In $f (3)$ , the 3 is the input and the value you get after applying the rule is the output.

Inverse and Composite Functions Lesson

GCSE
Maths
Inverse and Composite Functions

Step-by-step lessons covering OCR GCSE Maths Inverse and Composite Functions for Foundation and Higher tier. Each lesson works through exam-style questions in the written papers format. Build fluency with number, ratio and algebra first, since geometry, probability and statistics topics rely on them, and leave extra time nearer the exam for Higher-tier problem-solving and multi-step reasoning questions.