Find the domain of the function $f(x)=\frac{2x-7}{\sqrt{x^2-5x+6-x^2}}$
The denominator simplifies to sqrt [ 6 - 5x ]
Since we can't take the sqrt of a negative and the denominator must not = 0 we have that
6 - 5x > 0
6 > 5x
(6/5) > x or
x < (6/5)
Domain = ( -inf, 6/5)
+1791 
