What is the domain of the function y = RootIndex 3 StartRoot x minus 1 EndRoot?

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15-09-2022
Mathematics

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What is the domain of the function y = RootIndex 3 StartRoot x minus 1 EndRoot?

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xero099 xero099 · Answer 1 · 2022-09-16T11:29:48-04:00

By definition of cubic roots and power properties, we conclude that the domain of the cubic root function is the set of all real numbers.

What is the domain of the function?

The domain of the function is the set of all values of x such that the function exists.

In this problem we find a cubic root function, whose domain comprise the set of all real numbers based on the properties of power with negative bases, which shows that a power up to an odd exponent always brings out a negative result.

Remark

The statement is poorly formatted. Correct form is shown below:

¿What is the domain of the function [tex]y = \sqrt[3]{x - 1}[/tex]?

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