Question

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

Answer 1

D

Explanation:

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

We have

`f(x)=(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)\\=((x)/(2)-3)+(3x^2+x-6)\\=3x^2+(1)/(2)x+x-3-6\\=3x^2+(3)/(2)x-9`

Correct answer is D