Example OAF.COMP.2 :$ f(x) = x - 2; g(x) = \frac 1 x$: $R(x) = f(g(x)) = \frac 1 x - 2 = \frac {1-2x} x$
The composition of the core negative power function $g(x) = \frac 1 x$ followed by the core linear function $f(x) = x-2$.
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 $R(x)$.

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