CIE A Level Maths: Pure 1复习笔记1.3.2 Composite Functions
Composite Functions
What is a composite function?
- A composite function is where one function is applied after another function
- The ‘output’ of one function will be the ‘input’ of the next one
- Sometimes called function-of-a-function
- A composite function can be denoted
How do I work with composite functions?
- Recognise the notation
Special cases
- fg(x) and gf(x) are generally different but can sometimes be the same
- ff(x) is written as f2(x)
- Inverse functions ff-1(x) = f-1f(x) = x
Exam Tip
- Domain and range are important.In fg(x), the ‘output’ (range) of g must be in the domain of f(x), so fg(x) could exist, but gf(x) may not (or not for some values of x).
Worked Example
转载自savemyexams
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