Függvénykompozícióról

Függvénykompozícióról refers to the operation of applying one function to the result of another function. If we have two functions, f and g, the composition of f and g, denoted as f o g, is a new function where for any input x, (f o g)(x) = f(g(x)). This means that we first apply the function g to x, and then we apply the function f to the output of g. The order of operations is crucial; f o g is generally not the same as g o f. The domain of the composite function f o g consists of all x in the domain of g such that g(x) is in the domain of f. The range of f o g is a subset of the range of f. Function composition is a fundamental concept in mathematics, particularly in calculus and abstract algebra, and it allows for the construction of more complex functions from simpler ones. It is a key tool for understanding the behavior and properties of functions and plays a significant role in many areas of mathematics and computer science.