Question

1. Determine whether the following subsets of C2(R) are vector spaces or not (that is, whether they’re subspaces of C2(R) or not).
(a) The set of functions f satisfying f (1) = f (2) − 1. (b) The set of functions f satisfying f(1) = f(2).

Answer 1

f(1) and f(2) are same function with different arguments ... right??

Answer 2

yes