Example OAF.QCOMP.1 :$ g(x) = x^2 - 1; f(x) = \frac 1 x$: $R(x) =
f(g(x)) = \frac 1 {x^2 - 1}$
The composition of the quadratic polynomial function $g(x) = x^2-1$
followed by the core negative power function $f(x) = \frac 1 x$.
Draw a mapping diagram showing this composition or consider the GeoGebra figures and table below.