Aim of the applet

Look at the composition of two functions of one variable.

Input data

• The functions f and g to create a composition.
• Point A to evaluate the function.

Output data

• The graphs of the functions f, g and f(g).
• The value in the point A of f, g and f(g).

First steps

• Write two functions and perform their composition. Then do it in the other order. Find 2 examples that match and another 2 in which no match.
• Find two functions whose composition is defined only at the origin.
• Given f (x) = x ^ 2, find g such that f (g (x)) = x. If you swap the roles of f and g, what happens? See if the result of the applet is correct.