GCSE Maths (Edexcel)

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Composite Functions

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Algebra Notation, Vocabulary and Manipulation

Composite Functions

4:51 Inverse & Composite Functions
Spec A7
Previous Finding Inverse Functions Next Advanced Composite Functions
  • A composite function is a function where the output of one function is used as the input for a second function.
  • The notation for a composite function is usually written as FG of X.
  • To use the notation, we first work out the second function and then use the result as the input for the first function.
  • The order of the functions in a composite function matters and will give different results.
  • An example is given with the functions f of x = 2x - 1 and g of x = 3x + 1, and the composite function GF of X is found to be 6x - 2.
  • Another example is given with the functions f of x = x + 1 and g of x = 2x, and it is shown that FG is not the same as GF.

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