Question 431456
The domain is the set of all possible values of f(x).
The function {{{f(x) = (x+3)/sqrt(2x-7)}}} will be undefined if the denominator equals zero.
This occurs at x = 7/2.  The function is defined for all other values of x.
Therefore, the domain is ({{{-infinity}}},7/2) U (7/2,{{{infinity}}})
where the open bracket means not including the endpoint and U means the union of these two intervals.
The graph is shown below:
{{{graph(300,300,-10,10,-40,40,(x+3)/sqrt(2x-7))}}}