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)=??

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

No, you're not solving here

Answer 7

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