Using it's concept, it is found that the domain for the expressions is, respectively, given by:
[tex]x \neq 0, x \neq 0, (-\infty, \infty), (-\infty, \infty), x \neq 2[/tex]
What is the domain of a function?
It is the set that contains all possible input values.
In a fraction, the denominator cannot be zero, hence:
- The domain of the first two expressions is of [tex]x \neq 0[/tex].
- The domain of the last expression is of [tex]x \neq 2[/tex].
The third expression can be simplified, as:
(x + 5)/(x + 5) = 1.
The same is true for the fourth, as:
x²/x = 1.
Neither has any restriction, hence their domain is all real numbers, represented by [tex](-\infty, \infty)[/tex].
More can be learned about the domain of a function at https://brainly.com/question/25897115
