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(x) 0 and v(x) 2 x 0 and x cannot be any value for which u(x) 2 x 2 and x cannot be any value for which v(x) 0 u(x) 2 and v(x) 0

Answer:Third option x ≠2 and x cannot be any value for which v(x) = 0Step-by-step explanation:In this problem we are asked to find the domain of the function [tex](UoV)(x)[/tex]We know that [tex](UoV)(x) = U(V(x))[/tex]. We know that: Domain of U(x) is all real numbers except x = 0 Domain of V(x) is all real numbers except x = 2. Then the domain of the composite function U(V (x)) is: all real numbers except x = 2. (since x = 2 does not belong to the domain of V(x) and all values of x for which V(x) = 0 (since x = 0 does not belong to the domain of U(x)) Finally the domain of [tex](UoV)(x)[/tex]) is: [tex]x \neq 2[/tex] and [tex]V(x) \neq 0[/tex]