What is graphical addition? [closed]

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"Use the graphs of f and g and the method of graphical addition to sketch the graph of $f + g$".

$f(x) = x, g(x) = \frac{1}{x}$

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2 Answers

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You plot each function on the same pair of axes. Then for each $x$ value of interest, you plot $(f+g)(x)$ by measuring $g(x)$ above the $f(x)$ line. It results in the same thing as making a table of values of $(f+g)(x)$ and plotting them. I believe "graphical addition" refers to the process of adding the functions on the graph paper.

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Graphical addition means $(f+g)(x)=f(x)+g(x)$ for all domain elements.

So you need to graph $(f+g)(x)=x+\frac{1}{x}$.

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