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 $f(x) =\frac 1 x $ followed by the core linear function $g(x) = x-2$.
Draw a mapping diagram showing this composition  or consider the GeoGebra figures below.

Compare the mapping diagram showing the composite functions with the graph of $R(x)$