It could be a subset: for example, for the function y = log(x), the domain is x > 0.
There are many functions whose domain is the complex plane.
Any domain that you like. It can be the counting numbers, integers, rationals, reals or complex numbers. Or it can be a subset of any of them. For example, the domain could be {-2, 7, 3.56}.
DIVIDE BY ZERO ERROR Is an equation with no solution's answer. * * * * * It also depends on the domain of the variable(s). For example x + 3 = 2 has no solution if the domain for x is the counting numbers, Z. x*3 = 2 has no solution if the domain for x is the natural numbers, N. x2 = 2 has no solution if the domain for x is the rational numbers, Q. x2 = -2 has no solution if the domain for x is the real numbers, R.
In mathematics, the domain of a function is the set of values that provide a real output. For example, for the equations y = 1/x or y - sqrt(x+3), the domain consists of all the values for x that provide a real output for y. For fractions, a denominator of zero will not provide a real output. For even roots, a negative value under the radicand will not provide a real output. One can find the domain by finding these exceptions and excluding them from the domain set.
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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.
provide an example of how one domain of development impacts the other two.
Any domain that you like. It can be the counting numbers, integers, rationals, reals or complex numbers. Or it can be a subset of any of them. For example, the domain could be {-2, 7, 3.56}.
It is an equation which is insoluble in its domain. However, it may be soluble in a bigger domain.For example, x2 = 2 has no solution in the domain of rational numbers but it does in the real numbers, orx2 = -2 has no solution in the domain of real number but it does in imaginary numbers.
It would be an imaginary number (one that cannot exist). For example the square root of a negative number.
DIVIDE BY ZERO ERROR Is an equation with no solution's answer. * * * * * It also depends on the domain of the variable(s). For example x + 3 = 2 has no solution if the domain for x is the counting numbers, Z. x*3 = 2 has no solution if the domain for x is the natural numbers, N. x2 = 2 has no solution if the domain for x is the rational numbers, Q. x2 = -2 has no solution if the domain for x is the real numbers, R.
Yes, domain names can have numbers in them.
In mathematics, the domain of a function is the set of values that provide a real output. For example, for the equations y = 1/x or y - sqrt(x+3), the domain consists of all the values for x that provide a real output for y. For fractions, a denominator of zero will not provide a real output. For even roots, a negative value under the radicand will not provide a real output. One can find the domain by finding these exceptions and excluding them from the domain set.
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, ∞).
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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.
When real numbers fail to provide a solution there is no real solution - its as simple as that! There is no integer solution for 2x = 3. To find a solution you need to extend the domain to rational numbers. There is no rational number solution to x^2 = 2, so you need to extend to the real numbers. For some equations that do not have a real solution, for example, x^2 + 1 = 0, there are solutions if the domain is extended to the complex field. x + 2 = x - 2 has no real solution nor a complex solution. However, it does have a solution in modulo 4 arithmetic. But in that case the original equation should have said so. When seeking a solution to an equation, it is customary to define the domain in which the answer (if any) may be found. - unless the context makes the domain clear.
An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.