I need help with Algebra.

Hey there! :)
Answer:
C. (f + g)(x) = 3x² + 3x/2 - 9
Step-by-step explanation:
(f + g)(x) requires you to add functions f(x) and g(x) together. Therefore:
(f + g)(x) = x/2 - 3 + 3x² + x - 6
Combine like terms:
(f + g)(x) = 3x² + x + x/2 - 3 - 6
Simplify:
(f + g)(x) = 3x² + 3x/2 - 9
Therefore, the correct answer is C.
Answer:
[tex](f+g)(x)=3x^2+\frac{3}{2} x-9[/tex]
agreeing with answer C in your list.
Step-by-step explanation:
If [tex]f(x)=\frac{x}{2} -3[/tex] and [tex]g(x)=3x^2+x-6[/tex] then the addition of the functions would be:
[tex](f+g)(x)=g(x)=\frac{x}{2} -3+3x^2+x-6=3x^2+\frac{3}{2} x-9[/tex]