Given:
[tex]\begin{gathered} f(x)=6x^3-3x^2+5x-9 \\ g(x)=x^2-6x+10 \end{gathered}[/tex]Required:
To find the value of
[tex](f+g)(x)[/tex]Explanation:
Let,
[tex](f+g)(x)=f(x)+g(x)[/tex]Here,
[tex]\begin{gathered} (f+g)(x)=6x^3-3x^2+5x-9+x^2-6x+10 \\ \\ =6x^3-2x^2-x+1 \end{gathered}[/tex]Final Answer:
[tex](f+g)(x)=6x^3-2x^2-x+1[/tex]