Example OAF.COMP.1 :$ g(x) = x - 2; f(x) = \frac 1 x$: $R(x) = f(g(x)) = \frac 1 {x - 2}$
The composition of the core negative power function $g(x) = x-2$ followed by the core linear function $f(x) = \frac 1 x$.
Draw a mapping diagram showing this composition  or have SAGE create this by evaluating.

Compare the mapping diagram with the graphs of $g(x)$ and $f(x)$
Graphs of $g(x)$ and $f(x)$
Mapping Diagram Showing Composition.