Determine the domain of the function f(x)=ln(5x−x24)f(x) = \sqrt{\ln(\frac{5x-x^2}{4})}f(x)=ln(45x−x2).
(1,4)(1, 4)(1,4)
[1,4][1, 4][1,4]
(0,5)(0, 5)(0,5)
(−∞,1]∪[4,∞)(-\infty, 1] \cup [4, \infty)(−∞,1]∪[4,∞)