Question

I need help with Algebra.​

Answer 1

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 2

Answer:

$(f+g)(x)=3x^2+\frac{3}{2} x-9$

agreeing with answer C in your list.

Step-by-step explanation:

If $f(x)=\frac{x}{2} -3$ and $g(x)=3x^2+x-6$ then the addition of the functions would be:

$(f+g)(x)=g(x)=\frac{x}{2} -3+3x^2+x-6=3x^2+\frac{3}{2} x-9$