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# Domain

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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