ANSWER:
[tex](f+g)(x)=2x^2+2x-9[/tex]STEP-BY-STEP EXPLANATION:
We have the following functions:
[tex]\begin{gathered} f\mleft(x\mright)=2x^{2}-4 \\ g\mleft(x\mright)=2x-5 \end{gathered}[/tex]Now we calculate the sum of both functions like this:
[tex]\begin{gathered} \mleft(f+g\mright)\mleft(x\mright)=f(x)+g(x)=2x^2-4+2x-5 \\ (f+g)(x)=2x^2+2x-9 \end{gathered}[/tex]