Find (f+g)(x),(f-g)(x), (fg)(x), and (f/g)(x), and their domains.
f(x)=x+6, g(x)=x-6
(f+g)(x)=??

Question

Find (f+g)(x),(f-g)(x), (fg)(x), and (f/g)(x), and their domains.
     f(x)=x+6, g(x)=x-6
(f+g)(x)=??

.sam. · Answer

f(x)=x+6, g(x)=x-6
(f+g)(x)=(x+6)+(x-6)

anonymous · Answer

So the values are literally x+6 and x-6
     I keep thinking I need to solve for something??

anonymous · Answer

So like...(f-g) is just (x+6)-(x-6)??

.sam. · Answer

$$(f+g)(x)=(x+6)+(x-6)$$
$$(f-g)(x)=(x+6)-(x-6)$$
$$(fg)(x)=(x+6)(x-6)$$
$$(f/g)(x)=\frac{(x+6)}{(x-6)}$$
Can you see the pattern here?

anonymous · Answer

Yeah...I always think I am solving for x

.sam. · Answer

No, you're not solving here

anonymous · Answer

I got it, rather simple andd I'm overthinking it.  It helps to have someone confirm it.  Thanks again!