Composition of Multiple Functions - Maple Programming Help

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Composition of Multiple Functions

 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 $g\left(h\left(x\right)\right)$.

Choose $f\left(x\right)$, $g\left(x\right)$ and $h\left(x\right)$ to compose the function $\left(f\mathit{\circ }g\mathit{\circ }h\right)\left(x\right)$.

 Choose $f\left(x\right)$: sqrt(x)sin(x)1/xx^3ln(x)cos(x)xx^2 Choose $g\left(x\right)$: sqrt(x)sin(x)1/xx^3ln(x)cos(x)xx^2 Choose $h\left(x\right)$: sqrt(x)sin(x)1/xx^3ln(x)cos(x)xx^2   

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