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What is the sum of all real numbers x that are not in the domain of the function
f(x) = 1/(x^2 - 7) + 1/(x^4 - 8) + 1/(x^5 - 9)?

 Jul 28, 2022
 #1
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The numbers that aren't in the domain of that function are \(\sqrt 7\)\(\sqrt[4]8\), the opposites of both of those, and \(\sqrt[5]9\).

 

The first two are cancelled out by their opposites, so the answer is \(\sqrt[5]9\).

 Jul 28, 2022

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