Question

I need help with Algebra.
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Answer 1

`(f+g)(x)=3x^2+(3)/(2) x-9`

agreeing with answer C in your list.

Explanation:

If
`f(x)=(x)/(2) -3` and
`g(x)=3x^2+x-6` then the addition of the functions would be:

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

Answer 2

Hey there! :)

Answer:

C. (f + g)(x) = 3x² + 3x/2 - 9

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.