Composition of Functions

Just how a function can be in terms of any variable, for example f(x), a function f in terms of x, a function can also be in terms of another function.

Let's say you have a function f(x), and another one, g(x).

"The composition of f(x) with g(x)" will now mean that f(x) is now in terms of g(x), instead of whatever variable it had before.

It can be written two ways:Let's start with an example. Consider the following functions: The composition of f with g, will be the function f, in terms of g(x).
f(x) = 2x maps x to 2x. This means that f in terms of g(x), f(g(x)) will map g(x) to 2g(x)

We easily conclude that Let's do some exercises, find f(g(x)) for:

Answers:

Well done.

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