So we have to find the function (f+g)(x) knowing that f and g are given by:
[tex]\begin{gathered} f(x)=-x+5 \\ g(x)=-3x^2 \end{gathered}[/tex]
Function (f+g)(x) meets the following property:
[tex](f+g)(x)=f(x)+g(x)[/tex]
Which means that we just need to add the expressions of f and g in order to find the answer:
[tex]f(x)+g(x)=-x+5-3x^2[/tex]
Then the answer is:
[tex](f+g)(x)=-3x^2-x+5[/tex]
