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Student[Precalculus][CompositionPlot] - plot the composition of two functions
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Calling Sequence
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CompositionPlot(f, g, opts)
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Parameters
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f
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algebraic expression in at most one variable
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g
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algebraic expression in at most one variable
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opts
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(optional) equation(s) of the form option=value where option is one of compositionoptions, compositiontype, function1options and function2options; specify output options
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Description
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The CompositionPlot(f, g) command displays a plot of the two given functions f and g and their composition g(f) or f(g).
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The optional parameters opts specify the desired options for the resulting plot. The available options are:
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compositionoptions = list
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Specifies the plot options for the composition g(f) or f(g).
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compositiontype = g(f) or f(g)
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Specifies whether the composition is g(f) or f(g). By default, the composition is g(f).
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Specifies the plot options for f.
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Specifies the plot options for g.
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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.
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For information on including additional plot option(s), see the plot help page.
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For information on how to change the default colors, see the Student[SetColors] help page.
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Examples
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![with(Student[Precalculus])](/support/helpjp/helpview.aspx?si=4422/file05117/math168.png)
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![CompositionPlot(x^2, x+5, 'view' = [-10 .. 6, -2 .. 10], 'function2options' = ['color' = blue])](/support/helpjp/helpview.aspx?si=4422/file05117/math181.png)
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The command to create the plot from the Plotting Guide is
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Download Help Document
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