The numerator will be defined for all x
If the discriminant of x^2 - x + c is < 0, there will be no real x's that make the denominator 0
So...we have that
1 - 4c < 0
1 < 4c
1/4 < c
So....c > 1/4 and the smallest positive integer where c > 1/4 is when c =1
domain of all real numbers? 
