Q: What is the domain of the variable x if it's an imaginary number?

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Some letters such as e is a number, and i stands for imaginary number. But most letters are variables. x is a common variable. A variable is basically a number that you don't know so you just call it x.

Domain is used to refer to the x (or the independent variable).

In algebra, the domain consists of all possible values for the x variable that could make the function work. The range is all of the possible values of the function, using each number in the domain.

If I understand the question correctly, the answer is not in real numbers. But in the complex domain, there is the imaginary number i is such that i2 = -1. And so, for any positive x, [i*sqrt(x)]2 = i2*x = -1*x = -x, which is negative.

No. Not is x = 0 or if it an imaginary number.

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Some letters such as e is a number, and i stands for imaginary number. But most letters are variables. x is a common variable. A variable is basically a number that you don't know so you just call it x.

x is a letter often used as a variable. It can be in the range or the domain. However, in elementary algebra, the variable x is most often used for the domain and f(x) =y for the range.

Domain is used to refer to the x (or the independent variable).

In algebra, the domain consists of all possible values for the x variable that could make the function work. The range is all of the possible values of the function, using each number in the domain.

If I understand the question correctly, the answer is not in real numbers. But in the complex domain, there is the imaginary number i is such that i2 = -1. And so, for any positive x, [i*sqrt(x)]2 = i2*x = -1*x = -x, which is negative.

No. Not is x = 0 or if it an imaginary number.

Domain is the number of x values that can be used and not cause an imaginary result. Range is the number of the y values that result. In f(x)=2x-5 the range is all real numbers.

Domain, in math terms, is the set of possible x values. This changes with your function. f(x)=x, for example, has a domain of negative infinity to infinity. However, f(x)=squareroot of x can only be positive, as otherwise it would go to imaginary numbers. Hence, its domain is 0 to inifinity.

f(x)=5x Domain is any number for x that will provide a real number for f(x). In this function, x can be any real number, and f(x) will be a real number. Thus domain is all real numbers.

You can use any letter as a variable, although they can get confused with symbols like t with +, i with imaginary, and x with multiplication.

A number that produces a new kind of number would limit the domain. For example if I was taking a square root I couldn't use a negative value with producing an imaginary number. In a quadratic equation there are times when you won't make a negative number like y^2=x. x will never be negative because the square of any real number is a positive.

To find the domain or range, solve for a variable and see if the other variable has any restrictions on it. In this case, x2 + y = 4 y = 4 - x2 There are no restrictions on x, therefore x is in the domain of all real numbers. x = square root(4 - y) Since the argument (number in brackets) of a square root must be positive, 4 - y > 0, y < 4. Domain: x can be all real numbers. Range: y can be all real numbers less than or equal to 4.