1. ## f(0)=3

Is the subset consisting of all functions f such that f(0)=3 a subspace of vector space defined on the set of real numbers?

2. Originally Posted by lm6485
Is the subset consisting of all functions f such that f(0)=3 a subspace of vector space defined on the set of real numbers?

Does this set contain the vector zero in this vector space?

Tonio

3. Your set doesn't contain the zero function.