Which of the following is a representation of the domain of the expression:

h(x) = 12x + 3 / 2- square root of x

the expression contains sqrt(x)

the square root of a negative number is imaginary.
Therefore the domain must be confined to positive real x
nnow assuming that (2 - sqrt x) is in the denominator, we can not include x = 4 because in that case
2 - sqrt 4 = 0
and the expression is undefined.