Using domain concepts, it is found that the two most known functions that do not have a domain of all real numbers are fractions and even roots.
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- The domain of a function is composed by all possible values that the input can assume.
- Functions such as linear functions and quadratic functions have no restrictions, thus, their domain is all real numbers.
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- In fractions, there are is a restriction, that the denominator cannot be zero, thus, values for the input which make the denominator zero are outside the domain, and the domain is not all real numbers.
- In even roots, there is a restriction, as the even roots of negative numbers do not exist in the real domain, and thus, values for the input which makes the number inside the root negative are outside the domain, and the domain is not all real numbers.
- Thus, the most known functions that do not have a domain of all real numbers are fractions and even roots.
A similar problem is given at https://brainly.com/question/13136492
