Example OAF.QCOMP.2 :$ 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.

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