Question

g(x)=(square root) 6-2x find the domain

Answer 1

domain is all your x's, therefore solve for x:
6-2x=0
6=2x
6/2=x
x=3

Answer 2

sq rt(6-2x) is valid only when 6-2x>=0
implies 2x<=6
implies x<=3
hence domain (-infinity,3]

Answer 3

@ArtezJ

Answer 4

ohh yes missed a very important step , thanks princer_jones