Question

If f(x) = 8 -3 and g(x) = 3x2 + x-6, find (f + g)(x).

Answer 1

Answer:

D

Step-by-step explanation:

(f+g)(x)   basically means to "ADD" f(x) and g(x).

We have

$f(x)=\frac{x}{2}-3$

and

$g(x)=3x^2+x-6$

Now we simply add these two, adding like terms as shown below (and simplify):

$(f+g)(x)=f(x)+g(x)\\=(\frac{x}{2}-3)+(3x^2+x-6)\\=3x^2+\frac{1}{2}x+x-3-6\\=3x^2+\frac{3}{2}x-9$

Correct answer is D