(20%) 2. Let V be the real vector space of all functions from R to R. Define g: R rightarrow R by For any integer n, define gn(x) = g(x + n). " Determine the dimension of the subspace of V generated by {gn(x): n Z}. Justify your answer.
Show transcribed image text(20%) 2. Let V be the real vector space of all functions from R to R. Define g: R rightarrow R by For any integer n, define gn(x) = g(x + n). " Determine the dimension of the subspace of V generated by {gn(x): n Z}. Justify your answer.