Mathematics (AS)·Graphs and functions · NSSCAS 1.3.2
Composite functions
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Two function machines, joined in a chain — that is all a composite function is. In this lesson you will learn to read fg(x) the right way round, evaluate composites at a point, build fg(x) and gf(x) with algebra, work out f squared, and solve equations like fg(x) = 9. Then we run the whole idea backwards and learn to split a big function into two smaller ones. By the end, you will handle every composite question the exam can throw at you.
What you'll learn in this lesson
By the end you should be able to (NSSCAS Mathematics (AS) 1.3.2):
- Form composite functions such as fg, gf and f², and evaluate them at a point
- Recognise when a given function can be expressed as a composite of two given functions
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