This applet will illustrate the composition of two functions, f(x) anf g(x).[br][br]You can display two functions by using the show check box for each equation. The default equations are [math]f(x) = x^2[/math] and [math]g(x) = -2x[/math], you can enter equations of your choice by entering the function of x of your choice.[br][br]f(x) will graph in [color=#c51414]red[/color], and g(x) will graph in[color=#0a971e] green[/color]. The composition will displayed as h(x) and will display in [color=#1551b5]blue[/color]. By clicking on the appropriate check box, you will be able to display each graph separately or together.[br][br]Prior to displaying the solution function h(x), use the point tool to locate points on the grid for h(x), i.e., read the y-values of f(x) and g(x), perform the arithmetic operation chosen, and plot the y-value of h(x). Select at least 5 points to illustrate the trace of h(x). If using SMART or Promethean board have students find and plot the points. Hide f(x) and g(x) to allow users to determine a pattern before displaying f(x).