Given:
[tex]\begin{gathered} (f+g)(x)=3x^2+2x-1 \\ g(x)=2x-2 \end{gathered}[/tex]Required:
[tex]f(x)[/tex]Explanation:
[tex]\begin{gathered} (f+g)(x)=\text{ }3x^2+2x-1 \\ f(x)+g(x)=3x^2+2x-1 \\ f(x)_+2x-2=3x^2+2x-1 \\ f(x)=3x^2+2x-1-2x+2 \\ \end{gathered}[/tex][tex]f(x)=3x^2+1[/tex]Final Answer:
[tex]f(x)=\text{ }3x^2+1[/tex]