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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)?

 May 10, 2021
 #1
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The real numbers not in the domain of the function occur where the denominators on the right-hand side are zero.  So, for example, when \(x = \pm \sqrt 7\) the term x2 -7 is zero, so \(x = -7 \text{ and }x=7\) are two values not in the domain of f(x).  Can you continue from there?

 May 10, 2021

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