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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^3 - 7) + 1/(x^4 - 7)?

 Apr 11, 2022
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If ANY of the denominators = 0    then that value of x is not in the domain

 

x =  ± \(\sqrt{7}\)\(\sqrt[3]{7}\) , ± \(\sqrt[4]{7}\)       all are not in the domain              the sum would be    \(\sqrt[3]{7}\)

 Apr 11, 2022

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