Domain = [0, pi/3) radians or [0, 60) degrees.
Range = [-9, 9]
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0.819
Assuming you mean sqrt(x-3) rather than sqrt(x) - 3, the domain can be any subset of of x ≥ 3. The range will depend on the domain but needs to be divided in two so that it contains only one of the two roots.
All three are ratios which do not have units.
three halves
Four thirds