The function y = 2 x-1 x-2 (x ≠ 2) with codomain = R – 2

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

The function y = \(\frac{2 x-1}{x-2}\) (x ≠ 2) with codomain = R – {2}
  1. is its own inverse
  2. decreases at all values of x in the domain
  3. has a graph entirely above x–axis
  4. is bound for all x.

Answer

(A) is its own inverse, (B) decreases at all values of x in the domain

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