WOLFRAM|DEMONSTRATIONS PROJECT

Composition of Functions

x value

0.466

Construct

f(g(x))

by starting at a point on the

x

axis and moving vertically to the graph of

g(x)

. Move horizontally to the graph of

y=x

to relocate

g(x)

to an

x

value. Next evaluate

f

there by moving vertically to the graph of

f(x)

. Finally move horizontally to the point

(x,f(g(x)))

.