Question

Let f and g be functions that are neither even not odd.
a. create an example where f+g is odd
b. create an example where f times g is even
c. create an example where f times g is odd

Answer 1

Hmm here is something we could use for part a maybe.\[\Large\rm f=x^3+x^2,\qquad g=x^5-x^2\]Do you see what happens when we add f and g?
What do we end up with?

Answer 2

what about b and c @zepdrix