For $$ f(x)=4 x+2 $$ and $$ g(x)=x^{2}-6 $$, find $$ (f+g)(x) $$ A. $$ x^{2}+4 x-4 $$ B. $$ 4 x^{3}-4 $$ C. $$ 4 x^{2}-16 $$ D. $$ x^{2}+4 x+8 $$

Question

UpStudy AI · Accepted Answer

To find $$(f + g)(x)$$, we add the functions $$f(x)$$ and $$g(x)$$:

$$
f(x) = 4x + 2
$$
$$
g(x) = x^2 - 6
$$

Adding them together:

$$
(f + g)(x) = f(x) + g(x) = (4x + 2) + (x^2 - 6)
$$
$$
= x^2 + 4x + (2 - 6)
$$
$$
= x^2 + 4x - 4
$$

**Answer:** A. $$ x^{2}+4 x-4 $$
$$ (f + g)(x) = x^{2} + 4x - 4 $$, choice A.

For \( f(x)=4 x+2 \) and \( g(x)=x^{2}-6 \), find \( (f+g)(x) \) A. \( x^{2}+4 x-4 \) B. \( 4 x^{3}-4 \) C. \( 4 x^{2}-16 \) D. \( x^{2}+4 x+8 \)