Composition combines two or more functions into a single function. Represented by f(g(x)) or (f ∘ g)(x). Symbol ∘ indicates inner function (g) acting first
F of g of x is a composite function denoted as f(g(x)) or (f ∘ g)(x). It represents the process of combining two functions to form a new one. The symbol '∘' or brackets are used to represent composite functions
Composite function is defined as (f◦g)(x) = f(g(x)). Order of functions matters in composition. Functions must be validly defined for composition
Functions are relations where each input has a unique output. Functions require non-empty sets A and B. Domain is the set of possible inputs, range is the set of possible outputs
Functions can be added, subtracted, multiplied and divided. Addition: (f+g)(x) = f(x) + g(x). Subtraction: (f-g)(x) = f(x) − g(x). Multiplication: (f·g)(x) = f(x) · g(x). Division: (f/g)(x) = f(x) / g(x)
Composition combines two functions by applying one to the result of another. The composition symbol is denoted by ∘ or parentheses. The composition of f and g is defined as (f ∘ g)(x) = f(g(x))