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What is the domain of a square root function with an endpoint at 4 5?
There can be no possible answer because the point (4, 5) is not on a square root.
What is the domain of the square root of x plus 9?
{ x | x is greater than or equal to -9 . } is the domain of the real function defined by this formula.
What does it mean two operations that undo each other?
Two operations are said to undo each other if each operation is the inverse (NOT reciprocal) of the other. Often the domain and range of the operations will need to be restricted so that the inverse exists. Some examples: Addition and subtraction. Multiplication and division. Sine of an angle and arcsine of a ratio (similarly the other trig ratios). Square and square root. Exponentiation and logarithm. Thus 3-squared is 9 and the [principal] square root of 9 is 3. If the range of the square root function is not restricted to non-negative roots, then the square root of 9 could also be -3.
What does domain and estimate the range mean in math?
"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.
What is the range of the square root function?
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.
