How do you find the domain of #f(x) = sqrt(x^2 - 5x)#?
One finds the domain of a function that contains an even powered radical by asserting that the argument is greater than or equal to 0 and then solve the inequality.
We assert that
Find the points were the function is 0:
Because this function is that of a parabola that opens up, the function is negative between the roots, therefore, the domain is all of the values of x that are not between the roots: