1. The problem statement, all variables and given/known data Prove f(x) = x^3 + 3^x is a one-to-one function. 2. The attempt at a solution Sum of one-to-one functions is a one-to-one function (I think/dont know how to prove). x^3 is one-to-one, 3^x is one-to-one, thus f(x) is one-to-one. Surely there's a more rigorous proof.