Composition of Functions - Examples Part 2

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In this video I go over more examples on composite functions but this time I look at functions composed of more than 2 functions. The result is only a more complex function but the procedure is exactly the same as for 2 functions as shown in my earlier videos. I also show how you can easily decompose complex functions into simpler ones, which is in many cases better than dealing with only the complex function


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Composition of Functions – Examples Part 2

Composition of Functions Examples Part 2.jpg

Composition of more than 2 functions

Definition:

Given two functions f and g, the composite function f◦g (also called the composition of f and g) is defined by:

(f◦g)(x) = f(g(x))

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Example 1

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Solution:

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Example 2

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Solution:

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2 comments
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Composition is simple, as long as You compose functions, not morphisms in category theory. In category theory, there is another level of madness.

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Haha category theory sounds like fun!

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