Find the domain of f(x)= 1 x-5 +x^ 2 + 1 x+7

Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions

Find the domain of \(f(x)=\frac{1}{\sqrt{x-5}}+x^{2}+\frac{1}{\sqrt{x+7}}\)
  1. x ∈ [–7, 5]
  2. x ∈ (5, ∞)
  3. x ∈ (–∞, 7)
  4. none of these

Answer

(B) x ∈ (5, ∞ )

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