The CompositionPlot(f, g) command displays a plot of the two given functions f and g and their composition g(f) or f(g).

The optional parameters opts specify the desired options for the resulting plot.  The available options are:

compositionoptions = list

Specifies the plot options for the composition g(f) or f(g).

compositiontype = g(f) or f(g)

Specifies whether the composition is g(f) or f(g).  By default, the composition is g(f).

function1options = list

Specifies the plot options for f.

function2options = list

Specifies the plot options for g.

caption = anything

A caption for the plot.

The default caption is constructed from the parameters and the command options. caption = "" disables the default caption. For more information about specifying a caption, see plot/typesetting.

For information on including additional plot option(s), see the plot help page.

For information on how to change the default colors, see the Student[SetColors] help page.

$\mathrm{with}\left(\mathrm{Student}\left[\mathrm{Precalculus}\right]\right)\:$

$\mathrm{CompositionPlot}\left(x^3+2\,\frac{1}{x^2}\,'\mathrm{compositiontype}'='f\left(g\right)'\right)$

$\mathrm{CompositionPlot}\left(x^2\,x+5\,'\mathrm{view}'=\left[-10..6\,-2..10\right]\,'\mathrm{function2options}'=\left['\mathrm{color}'=\mathrm{blue}\right]\right)$

$\mathrm{CompositionPlot}\left(x^3+2\,\frac{1}{x^2}\right)$