# What is the domain of f(x) = sqrt(x^2(x-3)(x-4))?

So in essence you have to find the values for which $\left(x - 3\right) \cdot \left(x - 4\right)$ is positive. If you graph it that happends for values $x \ge 4 , x \le 3$
So the domain is $\left(- \infty , 3\right] \cup \left[4 , + \infty\right)$.