Question

Please Help <3 Please Help <3

Answer 1

Hey, there! For this question, we can just start by plugging in the known values. $(f + g)(x)$ can be rewritten as $(\frac{x}{2} - 3 + 3x^2 + x - 6)(x)$.

Combine like terms: $(\frac{x}{2} + x - 3 - 6 + 3x^2)(x)$

If you add x to $\frac{x}{2}$, x will become $\frac{2x}{2}$, which means that x/2 + x = 3/2x.

--> $(\frac{3}{2}x - 9 + 3x^2)(x)$

If you rearrange this, then your answer will be option b. Hope this helps.

Answer 2

       f(x) = $\frac{x}{2}$ - 3

    + g(x) = 3x² + x - 6

f(x) + g(x) = 3x² + $\frac{x}{2}$ + x  -3 - 6

              = 3x² + $\frac{3}{2}x$ - 9

Answer: B