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Consider relation of $f(x)$ is given and $g(x) = ax+b$ . We want to plot $f\circ g $ using transforming $f(x)$. Please explain steps for plotting $f\circ g $ one by one.

Thanks!

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    A problem like this is best explored on interactive graphing software, like geogebra. It's amazing how effective it is to _see_ it happen compared to reading about it.2017-01-15
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    @ Michael Burr Is this true if we first create $f(ax)$ and then $f(ax+b)$ ? The principle problem to me is order of creating functions.2017-01-15
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    @Arthur But I want to do it by hand!2017-01-15
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    When I began to work with signal processing this kind of operation was relatively common. Instead of $x$ it was time, but the logic is virtually the same.2017-01-15

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