We have to add the functions
[tex]\begin{gathered} f(x)=x^2+4x-5 \\ g(x)=7x^2-6x \end{gathered}[/tex]
To do this we have to remember the definition of addition of functions, that is
[tex](f+g)(x)=f(x)+g(x)[/tex]
Then, in our case we have
[tex]\begin{gathered} (f+g)(x)=(x^2+4x-5)+(7x^2-6x) \\ =x^2+4x-5+7x^2-6x \\ =8x^2-2x-5 \end{gathered}[/tex]
Then (f+g) is
[tex]8x^2-2x-5[/tex]
