Answer:
[tex]\large\boxed{(f+g)(x)=14x^2+17x+16}[/tex]
Step-by-step explanation:
[tex](f+g)(x)=f(x)+g(x)\\\\f(x)=14x^2+8x+12,\ g(x)=9x+4\\\\\text{Substitute:}\\\\(f+g)(x)=(14x^2+8x+12)+(9x+4)\qquad\text{combine like terms}\\\\(f+g)(x)=14x^2+(8x+9x)+(12+4)\\\\(f+g)(x)=14x^2+17x+16[/tex]
