Final answer:
The notation 'gof' represents the composition of function g with function f, which is the application of f to an input, followed by the application of g to the result of f, written as g(f(x)).
Step-by-step explanation:
The notation gof called the composition of g with f is defined as a function where you first apply the function f to an input and then apply the function g to the result of f. If we have functions f(x) and g(x), then their composition gof is denoted as g(f(x)).
In other words, for a given input x, the composition gof first maps x to f(x), and then maps this result to g(f(x)). The domain of gof consists of all values x in the domain of f such that f(x) is in the domain of g. It is important to note that, in composition, the function f is applied first and the result of that is used as the input for the function g.