The domain of the real valued function \( f(x) = \log_{5}(\sqrt{x^2+x} + \sqrt{x^2-x}) \) is
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To find the domain of complex functions, break it down into simpler conditions. For logarithms, the argument must be \(>0 \). For square roots, the radicand must be \( \ge 0 \). The final domain is the intersection of all conditions.