f(x) = root absolute x - 3 and f(x) =root 3- absolute x

Hmmm. You have said

f(x) = √|x|-3
or
f(x) = √|x-3|

and

f(x) = √3-|x|
or
f(x) = √(3-|x|)

can't tell, since you didn't use any parentheses.

In any case, so what?