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Conventionally, f o g is a way to represent the operation of function g followed by function f.

So for example, suppose f(x) = x + 2 and g(x) = 3x

then f o g (x) = f[g(x)] = f(3x) = 3x + 2

Note, though, that the "o" operator is not commutative.

g o f (x) = g[f(x)] = g(x + 2) = 3*(x + 2) = 3x + 6 which is not the same as f o g(x).

Such "nested" or "chained" functions are particularly useful in calculus (differentation and integration).

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Q: What does it mean when two functions are separated by a circle ex f circle g equals?
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