Understanding Function Composition | How f(g(x)) Works in Mathematics

f(g(x))

The expression f(g(x)) represents the composition of two functions, namely f and g

The expression f(g(x)) represents the composition of two functions, namely f and g.

To understand how this composition works, let’s break it down:

1. Start with the input value x.
2. First, apply the function g to x. This means we substitute x into g(x) and evaluate it. Let’s call the result y: y = g(x).
3. Next, take the output of g(x), which is y, and apply the function f to it. Substitute y into f(y) and evaluate it. Let’s call the final result z: z = f(y).

In summary, f(g(x)) is the result of applying the function g to x, and then applying the function f to the output of g(x). This composition allows us to apply multiple functions to an input value in a sequential manner.

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