Modulus Function. A modulus function is a function which gives the absolute value of a number or variable. It produces the magnitude of the number of variables. It is also termed as an absolute value function. The outcome of this function is always positive, no matter what input has been given to the function. It is represented as y = |x|. The domain is defined as the entire set of values possible for independent variables. The Range is found after substituting the possible x- values to find the y-values. Solved Examples. Example 1: Find the domain and range of a function f(x) = 3x 2 – 5. Solution: Given function: f(x) = 3x 2 – 5 The domain and range of a constant function is given as domain = ℝ and range = {k}, which is a singleton set. What is the Definition of Domain in Math? The domain in math is usually defined for relations/functions. The domain of a function is the set of all values that are possible to input into it. Composition is a binary operation that takes two functions and forms a new function, much as addition or multiplication takes two numbers and gives a new number. However, it is important not to confuse function composition with multiplication because, as we learned above, in most cases f(g(x)) ≠ f(x)g(x). It also does not mean that all real numbers can be function values, f(x). There may be restrictions on the domain and range. The restrictions partly depend on the type of function. In this topic, all functions will be restricted to real number values. That is, only real numbers can be used in the domain, and only real numbers can be in the range. Domains and ranges. For the first four functions, we can take x x to be any real number. That is, we can substitute any x x -value into the formula to obtain a unique y y -value. We therefore say that the natural domain of the functions y = x + 2 y = x + 2, y = 3x2 − 7 y = 3 x 2 − 7, y = sin x y = sin x and y = 2x y = 2 x is the set of all Step 3: Now the intersection of the domain of g(x) and the domain of f(g(x)) is the domain of f(g(x)) Range of Composite Functions The range of the composite function does not get affected by the inner function it only depends on the outer function and we can easily find the range of the composite function using normal methods. 4 days ago · Natural Domain. The natural domain of a function is the maximal chain of domains on which it can be analytically continued to a single-valued function . DOMAIN meaning: 1. an area of interest or an area over which a person has control: 2. a set of websites on the…. Learn more. The functions have a domain x value that is referred as input. The domain values (set of x-values) can be a number, angle, decimal, fraction, etc depending on its type. Similarly, the set of y values is the range. The types of functions have been classified into the following four types. Based on the mapping; Based on Degree; Based on Math Concepts JIKXeUQ.