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Algebra Difficulty 2.0 Junior Find the answer United Kingdom

Let f(x)=x+x2+1+1xx2+1f(x) = x + \sqrt{x^2+1} + \dfrac{1}{x - \sqrt{x^2+1}}. What is the value of f(2015)f(2015)?

(A) 1-1 (B) 00 (C) 11 (D) 2016\sqrt{2016} (E) 20152015

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