Web Reference: Performing algebraic operations on functions combines them into a new function, but we can also create functions by composing functions. When we wanted to compute a heating cost from a day of the year, we created a new function that takes a day as input and yields a cost as output. Learn the concept of function composition with eight illustrative examples. Understand how to create a "new" function from two given functions. We can even compose a function with itself! First we apply f, then apply f to that result: We should be able to do it without the pretty diagram: It has been easy so far, but now we must consider the Domains of the functions. The domain is the set of all the values that go into a function.
YouTube Excerpt: This algebra video tutorial provides a basic introduction into composite
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