Solution
[tex]\begin{gathered} f(x)=x^3+2x \\ \\ f(-x)=(-x)^3+2(-x)=-x^3-2x=-(x^3+2x)=-f(x) \\ \\ f(-x)=-f(x) \\ \\ Odd \end{gathered}[/tex]and
[tex]\begin{gathered} g(x)=2x^2-3 \\ \\ g(-x)=2(-x)^2-3=2x^2-3=g(x) \\ \\ g(-x)=g(x) \\ \\ Even \end{gathered}[/tex]Therefore, the answer is
Odd, Even
Option C
