What is the sum of all real numbers $x$ that are not in the domain of the function
$$f(x) = \frac{1}{x^2-7} + \frac{1}{x^3-8} + \frac{1}{x^4-9}~?$$
You cannot have any ZERO denominators...
so x^2 cannot = 7 x cannot = +- sqrt 7
x^3 cannot equal 8 x cannot = 2
x^4 cannot equal 9 x cannot = +- sqrt 3 sum = 2