There can be no possible answer because the point (4, 5) is not on a square root.
{ x | x is greater than or equal to -9 . } is the domain of the real function defined by this formula.
"Domain" means for what numbers the function is defined (the "input" to the function). For example, "x + 3" is defined for any value of "x", whereas "square root of x" is defined for non-negative "x". "Range" refers to the corresponding values calculated by the function - the "output" of the function. If you write a function as y = (some function of x), for example y = square root of x, then the domain is all possible values that "x" can have, whereas the range is all the possible values that "y" can have.
The answer depends on the domain. If the domain is non-negative real numbers, then the range is the whole of the real numbers. If the domain is the whole of the real numbers (or the complex plane) , the range is the complex plane.
Assuming you mean 3x3: If you work with real numbers, anything under the square root sign must be non-negative, so if you solve the inequality: 3x3 >= 0 for x, you get all valid values of x for this function, in other words, the domain.
A mapping is a rule that defines an association between two sets: a domain and a codomain (which need not be different from the domain).For a mapping to be a function, each element in the domain must have a unique image in the codomain.Sometimes, it is necessary to define the domain so that this requirement is satisfied. For example, square root is not a function from the set of Reals (R) to the Reals (R)because there is no image for a negative number. Also, any positive element of R can be mapped to the principal square root or its negative value. You can get around this by defining the domain as the non-negative real numbers, R0+, and the codomain as either the same or the non-positive real numbers.A mapping is a rule that defines an association between two sets: a domain and a codomain (which need not be different from the domain).For a mapping to be a function, each element in the domain must have a unique image in the codomain.Sometimes, it is necessary to define the domain so that this requirement is satisfied. For example, square root is not a function from the set of Reals (R) to the Reals (R)because there is no image for a negative number. Also, any positive element of R can be mapped to the principal square root or its negative value. You can get around this by defining the domain as the non-negative real numbers, R0+, and the codomain as either the same or the non-positive real numbers.A mapping is a rule that defines an association between two sets: a domain and a codomain (which need not be different from the domain).For a mapping to be a function, each element in the domain must have a unique image in the codomain.Sometimes, it is necessary to define the domain so that this requirement is satisfied. For example, square root is not a function from the set of Reals (R) to the Reals (R)because there is no image for a negative number. Also, any positive element of R can be mapped to the principal square root or its negative value. You can get around this by defining the domain as the non-negative real numbers, R0+, and the codomain as either the same or the non-positive real numbers.A mapping is a rule that defines an association between two sets: a domain and a codomain (which need not be different from the domain).For a mapping to be a function, each element in the domain must have a unique image in the codomain.Sometimes, it is necessary to define the domain so that this requirement is satisfied. For example, square root is not a function from the set of Reals (R) to the Reals (R)because there is no image for a negative number. Also, any positive element of R can be mapped to the principal square root or its negative value. You can get around this by defining the domain as the non-negative real numbers, R0+, and the codomain as either the same or the non-positive real numbers.
matrix
The domain of the function f (x) = square root of (x - 2) plus 4 is Domain [2, ∞)
{ x | x is greater than or equal to -9 . } is the domain of the real function defined by this formula.
The square root operation is not a function because for each value of y there can be 2 values of x - the principal square root and its negative. This can only be rectified by limiting the range of the opearation to the principal or positive square root. Furthermore, it also depends on the domain of the function. If y<4 then the square root is not defined within Real numbers. So, for y ≥ 4, x = +sqrt(y-4) is a function.
The domain of a function is the set of numbers that can be valid inputs into the function. Expressed another way, it is the set of numbers along the x-axis that have a corresponding solution on the y axis.
to find the domain first check all the possibilities of the denominator attaining a value of zero then if the function has any thing inside a square root, the expression inside the root must be always greater than or equal to zero.If the square root is in the denominator then the expression inside must be just greater than zero but not equal to zero.
"Domain" means for what numbers the function is defined (the "input" to the function). For example, "x + 3" is defined for any value of "x", whereas "square root of x" is defined for non-negative "x". "Range" refers to the corresponding values calculated by the function - the "output" of the function. If you write a function as y = (some function of x), for example y = square root of x, then the domain is all possible values that "x" can have, whereas the range is all the possible values that "y" can have.
The answer depends on the domain. If the domain is non-negative real numbers, then the range is the whole of the real numbers. If the domain is the whole of the real numbers (or the complex plane) , the range is the complex plane.
Assuming you mean 3x3: If you work with real numbers, anything under the square root sign must be non-negative, so if you solve the inequality: 3x3 >= 0 for x, you get all valid values of x for this function, in other words, the domain.
The opposite (or inverse function) of the square root would be the square.
A mapping is a rule that defines an association between two sets: a domain and a codomain (which need not be different from the domain).For a mapping to be a function, each element in the domain must have a unique image in the codomain.Sometimes, it is necessary to define the domain so that this requirement is satisfied. For example, square root is not a function from the set of Reals (R) to the Reals (R)because there is no image for a negative number. Also, any positive element of R can be mapped to the principal square root or its negative value. You can get around this by defining the domain as the non-negative real numbers, R0+, and the codomain as either the same or the non-positive real numbers.A mapping is a rule that defines an association between two sets: a domain and a codomain (which need not be different from the domain).For a mapping to be a function, each element in the domain must have a unique image in the codomain.Sometimes, it is necessary to define the domain so that this requirement is satisfied. For example, square root is not a function from the set of Reals (R) to the Reals (R)because there is no image for a negative number. Also, any positive element of R can be mapped to the principal square root or its negative value. You can get around this by defining the domain as the non-negative real numbers, R0+, and the codomain as either the same or the non-positive real numbers.A mapping is a rule that defines an association between two sets: a domain and a codomain (which need not be different from the domain).For a mapping to be a function, each element in the domain must have a unique image in the codomain.Sometimes, it is necessary to define the domain so that this requirement is satisfied. For example, square root is not a function from the set of Reals (R) to the Reals (R)because there is no image for a negative number. Also, any positive element of R can be mapped to the principal square root or its negative value. You can get around this by defining the domain as the non-negative real numbers, R0+, and the codomain as either the same or the non-positive real numbers.A mapping is a rule that defines an association between two sets: a domain and a codomain (which need not be different from the domain).For a mapping to be a function, each element in the domain must have a unique image in the codomain.Sometimes, it is necessary to define the domain so that this requirement is satisfied. For example, square root is not a function from the set of Reals (R) to the Reals (R)because there is no image for a negative number. Also, any positive element of R can be mapped to the principal square root or its negative value. You can get around this by defining the domain as the non-negative real numbers, R0+, and the codomain as either the same or the non-positive real numbers.
The domain of a function, is the range of input values which will give you a real answer.For example the domain of x+1 would be all real numbers as any number plus 1 will be another real numberThe domain of x0.5 would be all positive numbers as the answer to square root of a negative number is not realNote:x0.5 means the square root of x* * * * *Not quite. A function is a one-to-one or many-to-one mapping from a set S to a set T (which need not be a different set). A function can be one whose domain is all the cars parked in a street and the range is the second character of their registration number.A mathematical function can have the complex field as its domain and range, so a real answer is not a necessary requirement for a function.