In mathematics, function composition is an operation ∘ that takes two functions f and g, and produces a function h = g ∘ f such that h = g. In this operation, the function g is applied to the result of applying the function f to x. That is, the
Summary Function Composition is applying one function to the results of another. (g º f) (x) = g (f (x)), first apply f (), then apply g () We must also respect the domain of the first function Some functions can be de-composed into two (or more) simpler functions. See more
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Now we're really doing a triple composition. So there's a bunch of ways we could do this. One way is to just try to evaluate what is F of two. Well F of two is going to be equal to two squared minus one. It's going to be four minus one or three.
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