# Composition of Functions

Composition of Functions

Construct by starting at a point on the axis and moving vertically to the graph of . Move horizontally to the graph of to relocate to an value. Next evaluate there by moving vertically to the graph of . Finally move horizontally to the point .

f(g(x))

x

g(x)

y=x

g(x)

x

f

f(x)

(x,f(g(x)))