Function Diagrams: Composition

Henri Picciotto

You can change functions f and g in the input bar.
For example, type f(x)=(1/2)x, or g(x)=x^2.
You can change the x value by dragging the blue x point.
You can simplify h(x) by entering p(x)=expand(h(x)) in the input bar.
Can you find a function g so that h(x) simplifies to just x?

Download the GeoGebra file

Static function diagram applets (for copy-pasting):: Function diagram; Linked function diagrams: composition; Linked function diagrams: iterating linear functions
Dynamic function diagram applets:: with graph | linear | 2 linear | magnification | mystery | y=1/x; Teacher notes
Related pages on this site:: Function diagrams overview; Electronic tools for function diagrams; Function diagram PDFs