Posted by Vana on .
Which of the following is a representation of the domain of the expression:
h(x) = 12x + 3 / 2  square root over x
a)[0,4)
b) [(0,4) U ( 4, infinity)
I know that the answer is b, but how do I come to this answer?

calculus 
drwls,
x cannot be negative (because the square roots of negatove numbers are unreal) and it also cannot cause the denomimator (2  sqrt x) to be zero. Therefore x cannot be exactly 4, either.