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 (uv)(x)?

The restriction on the domain of the product function (uv)(x) is:

All the real numbers except 0 and 2.

Step-by-step explanation:

We are given two function u and v and we are asked to find the domain of the composite function.

(uv)(x)

Since, we know that the product function (uv)(x) could also be represented as:

(uv)(x)=u(x).v(x)

So for the product function to exist each of the function u(x) and v(x) must also exist i.e. the function u and v are well defined.

Hence, the domain of the product function is:

All the real numbers except 0 and 2.

answer:

c. the third graph