Maths with Lemon

Composition of functions

"Not a lot of people know this, but I'm very good at mathematics. When I was an angry teenager, I used to sit in my room and do quadratic equations to calm myself down "

Samantha Bond

Extra

Material and references:

  • Hodder Book SL(ISBN: 9781510462359) :
    13B

Key Points

  • 1. You should be able to form composite functions and know when composite functions exist.
    2. You should also know what the identity function is and how it is related to inverse functions: \[ (f \circ f^{-1})(x) = (f^{-1} \circ f)(x) = x. \]

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