There are eight steps to the problem. First find then determine the domain for each function.

Solution:
Given the functions:
[tex]\begin{gathered} f(x)=3x^2-9x+6 \\ g(x)=x-1 \end{gathered}[/tex]The sum of the functions is;
[tex]\begin{gathered} (f+g)(x)=3x^2-9x+x+6-1 \\ (f+g)(x)=3x^2-8x+5 \end{gathered}[/tex]The domain of a function is a set of values for which the function is real and defined.
The domain of a quadratic function is always;
[tex]\begin{gathered} (-\infty,\infty) \\ -\infty