Main Concept

Given functions $f$, $g$, and $h$, the composition of $f$, $g$, and $h$ is defined by:

$\left(f\circ g\circ h\right)\left(x\right)\=f\left(g\left(h\left(x\right)\right)\right)$.

First $h$ is applied to $x$, then $g$ is applied to $h\left(x\right)$, and finally $f$ is applied to $g\left(h\left(x\right)\right)$.

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MathApps/FunctionsAndRelations