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

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Answer 1 · 2015-09-09T09:20:35

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

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 $(-oo ,3] uu [4,+oo)$ .

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