The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of - x, StartRoot negative x EndRoot, is not necessarily undefined and what this means about the domain and range of f (x) = StartRoot negative x EndRoot.

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Mathematics

Broderick Clay

4 January, 04:01

The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of - x, StartRoot negative x EndRoot, is not necessarily undefined and what this means about the domain and range of f (x) = StartRoot negative x EndRoot.

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Shyla Payne · Answer 1

If x is a negative number, then negative x is a positive number and the square root can be determined. Therefore, the domain of the function is x ≤ 0. As a result, the range is never negative either, so it is y ≥0.

Michaela Cobb · Answer 2

is c in the future if you want to talk about it and let me know if you need anything else