The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What
are the restrictions on the domain of (u.v)(x)?
A. u(x) ≠ 0 and v(x) ≠ 2
B. x ≠ 0 and x cannot be any value which u(x) = 2
C. x ≠ 2 and x cannot be any value for which v(x) = 0
D. u(x) ≠ 2 and v(x) ≠ 0

Respuesta :

Using the domain concept, the restrictions on the domain of (u.v)(x) are given by:

A. u(x) ≠ 0 and v(x) ≠ 2.

What is the domain of a data-set?

The domain of a data-set is the set that contains all possible input values for the data-set.

To calculate u(x) x v(x) = (u.v)(x), we calculate the values of u and v and then multiply them, hence the restrictions for each have to be considered, which means that statement A is correct.

Summarizing, u cannot be calculated at x = 0, v cannot be calculated at x = 2, hence uv cannot be calculated for either x = 0 and x = 2.

More can be learned about the domain of a data-set at https://brainly.com/question/24374080

#SPJ1