If $f(x) = 2x^5 - x^4 + x^2 - 3$, and $g(x)$ is a polynomial such that the degree of $f(x) + g(x)$ is 3, then what is the degree of $g(x)$?

g(x) will also be of degree 5  such as :

   -2 x^5 + x^4  + x^3         this will eliminate the    2x^5   and -x^4 terms in f(x)  and leave a x^3 term in the sum of f and g