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Algebra 2315Updated Oct 18, 20262 pages

Compositions and Inverse Functions: Examples, Calculations, and Worksheets

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Maria Hernandez@mariahernandez
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The composition of functions, denoted as (fog)(x) = f(g(x)), allows us to plug g(x) into f(x) (fog)(x) is calculated by plugging g(x) into f(x), while (gof)(x) is calculated by plugging f(x) into g(x). Examples of composition of functions with specific values are given, demonstrating the process and providing answers. The inverse function undoes what the original function does, where x and y swap places. The symbol f^(-1)(x) represents the inverse function of f(x), and the process for finding the inverse function is explained with an example.
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