Answer: [tex](f+g)(x)=2x^2+2x-2[/tex]
Step-by-step explanation:
Given the function f(x), which is:
[tex]f(x)=-x^2 +6x-1[/tex]
And the function g(x), which is:
[tex]g(x) =3x^2-4x-1[/tex]
You can observe that [tex](f+g)(x)[/tex] indicates that you need to add the functions, then you know that:
[tex](f+g) (x)=(-x^2+6 x-1)+(3x^2-4x-1)[/tex]
Finally, to simplify it you must addthe like terms. Therefore, you get that [tex](f+g)(x)[/tex] is:
[tex](f+g)(x)=-x^2+6 x-1+3x^2-4x-1[/tex]
[tex](f+g)(x)=2x^2+2x-2[/tex]
