Example 1.
$ f(x) = 2x - 1; g(x) = 3x + 2$
.
$(f \circ g)(x) = f(g(x)) =f(3x+2) = 2*(3x+2) - 1 = (6x +4) -1= 6x + 3$
Graph of
$f \circ g$ with SAGE
:
Mapping Diagram of
$f \circ g$ with SAGE
:
Open GeoGebra
Select the point $x$ in the mapping diagram to move the point by mouse or use the scroll up or down key to move by increments.