Calculate the compositions

and similar functions and determine whether **fg = gf**.

The following LiveMath Notebook evaluates the compositions

- Which is the graph of
**fg**and the graph of**gf**? - Why did we look at the graphs rather than just say that since the formulas are different for
**fg**and**gf**, then the compositions**fg**and**gf**are not equal? Can you give an example of two formulas that do not look the same but the functions defined by the formulas are equal? - Give an example of two different functions
**f**and**g**such that**fg = gf**. Answers