Question

What are the restrictions on the domain of (wº)(x)?

Option 1: The domain of u(x) is O and the domain of v(x) is 2.
Option 2: x and x cannot be any value for which u(x) = 2.
Option 3: x and x cannot be any value for which v(x) = 0.
Option 4: u(x) = 2 and v(x) = 0.

Answer 1

The restrictions on the domain of (wº)(x) are that x cannot be any value for which u(x) = 2.

Step-by-step explanation:

The restrictions on the domain of (wº)(x) depend on the domains of the functions w(x) and u(x) that are composed in the expression. In this case, the options provided are:

1. The domain of u(x) is O and the domain of v(x) is 2.
2. x and x cannot be any value for which u(x) = 2.
3. x and x cannot be any value for which v(x) = 0.
4. u(x) = 2 and v(x) = 0.

Out of these options, Option 2 is the correct answer. The restrictions on the domain of (wº)(x) are that x cannot be any value for which u(x) = 2. This means that the input values for x that make u(x) equal to 2 are excluded from the domain of (wº)(x).