Question 176999
DOMAIN:

Domain is the set of all permissible x values.  Since there is a square root in a denominator, the denominator can't equal 0, and the radicand cannot be negative.  Therefore x-4>0, so x>4.


RANGE:
Since {{{f(x)=1/sqrt(x-4)}}} there is a built-in restriction that f(x) cannot be negative or zero, since it's value is determined by the {{{sqrt(x-4)}}}.  Moreover, as x gets closer and closer to 4, the value of f(x) gets larger and larger, approaching infinity.  


Final answer in interval notation:

D: x>4     (4,inf)
R: y>0     (0, inf)


R^2