D = {x [element of reals]}
R = {y [element of reals]|y >= 4}
x
You can define the domain as anything you like and that will determine the range. Or, you can define the range as anything you like and that will determine the domain. For example: domain = {1, 2, 3, 4, ... } then range = {-3, 0, 5, 12, ... } or range = {1, 2, 3, 4, ... } then domain = {sqrt(5), sqrt(6), sqrt(7), sqrt(8), ...}. There is, of course, no need to restrict either set to integers but then it was easier to work out one set from the other.
The Domain and Range are both the set of real numbers.
Assuming the standard x and y axes, the range is the maximum value of y minus minimum value of y; and the domain is the maximum value of x minus minimum value of x.
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc. And using ^ to indicate powers (eg x-squared = x^2). However, the domain and range are not defined in an absolute way. You can choose any domain that you like (within reason) and the definition of the range will follow. Or conversely. Suppose the equation is x = y + 12 Then you can, for example, define the domain (values of x) as the set of numbers 1, 3, and 97.2. The range, in that case will be -11, -9 and 85.2
The domain is what you choose it to be. You could, for example, choose the domain to be [3, 6.5] If the domain is the real numbers, the range is [-12.25, ∞).
The domain and the range depends on the context. For example, the domain and the range can be the whole of the complex field. Or I could define the domain as {-2, 1, 5} and then the range would be {0, 3, -21}. When either one of the range and domain is defined, the other is implied.
Y = x squared -4x plus 3 is an equation of a function. It is neither called a domain nor a range.
The answer depends on the domain for x. For example, if the domain is x = 7, then the range is 55. If the domain is all Real numbers, then the range is y >= 6.
The domain is (-infinity, infinity) The range is (-3, infinity) and the asymptote is y = -3
y is greater than 0 x exist in a set of real numbers
The domain could be the real numbers, in which case, the range would be the non-negative real numbers.
x
The domain of y = 1/x2 is all numbers from -infinity to + infinity except zero. The range is all positive numbers from zero to +infinity, except +infinity.
domain: (-infinity to infinity) range: ( -infinity to infinity)
The domain would be (...-2,-1,0,1,2...); the range: (12)
domain: all real numbers range: {5}