Given the functions

draw the graphs of the functions **f, g, fg,** and **gf**.

Using Derive:

- Prepare the program for graphics.
- If the first menu item is
*Algebra*then press . - Press for
*Author*. - Enter the function
f(x) := 1/(1+x^2) - Press twice to get the graph.
- Press twice and enter
g(x) := sin(x) - Again press twice to get the graph.
- Press twice and enter
f(g(x)) - Press twice to get the graph.
- Press twice and enter
g(f(x)) - Press twice to get the graph.