Problem:
Given the functions

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