Combinations of Functions
by Steven J. Wilson

You can use this page to graphically study the combination of two functions.

Note: Due to both algorithmic and resolution issues, some of the graphs may not be completely perfect.

Equation Input: (Use x as the variable.)
f(x) =
g(x) =

These are the graphs of the original two functions.

This is the graph of the sum of the two functions.

These are the graphs of the differences of the two functions, f-g followed by g-f.

This is the graph of the product of the two functions, fg.

These are the graphs of the quotients of the two functions, f/g followed by g/f.

These are the graphs of the compositions of the two functions, f(g(x)) followed by g(f(x)).