Composite-Functions Aqa Higher

Composite functions

What is a composite function?

• A composite function is a function applied to the output of another function

  • The input goes through the 1st function to become an output

  • This output goes through the 2nd function to become a new output

What notation is used for composite functions?

• If and are two functions, then

  • is a composite function

  • It means the input goes through function first

    • This gives the output

    • Then this output, <img alt=”straight f open parentheses x close parentheses” data-mathml=”<math ><semantics><mrow><mi mathvariant=”normal”>f</mi><mfenced><mi>x</mi></mfenced></mrow><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true,”toolbar”:”<toolbar ref=’general’><tab ref=’general’><removeItem ref=’setColor’/><removeItem ref=’bold’/><removeItem ref=’italic’/><removeItem ref=’autoItalic’/><removeItem ref=’setUnicode’/><removeItem ref=’mtext’ /><removeItem ref=’rtl’/><removeItem ref=’forceLigature’/><removeItem ref=’setFontFamily’ /><removeItem ref=’setFontSize’/></tab></toolbar>”}</annotation></semantics></math>” height=”22″ role=”math” src=”