What is the domain of the function: #f(x) =sqrt(x^2(x-3)(x-4))#?
To find the domain we need to determine which values of
The only combination for which
That is the only non-valid values for (Real)
The domain is where the radicand (the expression under the square root sign) is non-negative.
We know that
So in order that
Note that this domain already includes the point