The domain of u times x is the set of all real values except 0 and the domain of v times x is the set of all real values except 2 What are the restrictions on the domain of open paren u circ v close paren times x ?

For (u ∘ v)(x) = u(v(x)), first x must be in the domain of v, so x ≠ 2. Then v(x) must be in the domain of u, which excludes 0, so v(x) ≠ 0. These are exactly the restrictions in choice A.

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