If f(x)= x^ 2 -1 x^ 2 +1 , for every real number x, then the minimum value of f

Mathematics · JEE Advanced · NTA ExamsSets, Relations and Functions

If \(f(x)=\frac{x^{2}-1}{x^{2}+1}\), for every real number x, then the minimum value of f
  1. does not exist because f is unbounded
  2. is not attained even though f is bounded
  3. is equal to 1
  4. is equal to –1

Answer

(D) is equal to –1

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