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antoniya [11.8K]
3 years ago
11

What happens during the process of composing functions?

Mathematics
1 answer:
HACTEHA [7]3 years ago
6 0
<h2>Explanation:</h2>

By composing functions, we apply one function to the result of another function. So the definition is as follows:

The \ \mathbf{composition} \ of \ the \ function \ f \ with \ the \ function \ g \ is:\\ \\ (f \circ g)(x)=f(g(x))

Therefore, what happens during the process of composing functions is that:

The \ domain \ of \ (f \circ g) \ is \ the \ set \ of \ all \ x \ in \ the \ domain \ of \ g \\ such \ that \ g(x) \ is \ in \ the \ domain \ of \ f

In other words, we send the result of g() through the result of f()

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