Answer :

y = sqrt( x-4)

The domain is the value that x can take

sqrt( x-4) ≥ 0

Squaring each side

x-4≥ 0

x≥ 4

The domain is [4,∞)

The bracket means it included the value, parentheses does not include the value)

The range is the value that output can take

The smallest value a square root can be is 0

y ≥ 0

The range is [0,∞)