1. The problem statement, all variables and given/known data If f ∈ C(R) with f(0) ≠ 0, show that there exisits a g ∈ C(R) such that [fg] = , where  denotes the equivalence class containing the constant function 1. 2. Relevant equations 3. The attempt at a solution Let f ∈ C(R) such that f:R → R is defined as f(x) = 1/x and let g ∈ C(R) such that g:R → R is defined as g(x) = x. Therefore [fg] = [x/x] =  for all x∈R. is this correct?