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