Composing Functions Using Dynagraphs

first function f

y = x + 3

second function g

z = y - 3

input value

0

This Demonstration models composite functions using dynagraphs. The top line shows the input values

x

, which you can vary using the slider. The middle line shows the result of calculating

y=f(x)

. The bottom line shows the result of calculating

z=g(y)

, which is the same as

g(f(x))

.