Question

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

Answer 1

This function is defined for positive values of the quantity under the root.

Explanation:

So in essence you have to find the values for which `(x-3) * (x-4)` is positive. If you graph it that happends for values `x>=4,x<=3`

So the domain is `(-oo ,3] uu [4,+oo)`.