Respuesta :

Given the functions:

[tex]\begin{gathered} f(x)=-5x^2+6 \\ g(x)=x^2-6 \end{gathered}[/tex][tex]\begin{gathered} (f+g)(x)=f(x)+g(x) \\ (f+g)(x)=(-5x^2+6)+(x^2-6)=-5x^2+x^2+6-6 \\ (f+g)(x)=-4x^2+0=-4x^2 \end{gathered}[/tex]

The answer is: C. -4x^2.