Discrete Function Composition

g(x)

g0

0

1

2

3

g1

0

1

2

3

g2

0

1

2

3

g3

0

1

2

3

f(x)

f0

0

1

2

3

f1

0

1

2

3

f2

0

1

2

3

f3

0

1

2

3

connect

True

False

This Demonstration lets you explore finite function composition by varying the values of two functions whose domain and range are each {0, 1, 2, 3}, a common precalculus exercise. The connect option is provided as a graphing aid—the lines should not be considered part of the function.