1. The problem statement, all variables and given/known data Consider two functions, either of which is even or odd. But neither is neither even nor odd. Determine which algebraic combinations(sum, difference, quotient, product) of the given functions will result in an odd function, an even function, and in a function that is neither even nor odd. 2. Relevant equations f(-x)=f(x) for even and f(-x)=g(x) for odd. 3. The attempt at a solution I don't know how to unravel the logic. Say I pick the first function, it could be even or odd. But it is not (not even and not odd)=even or odd. So it must be even or odd? What is the point in all this? Are we not back at the starting point?