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📐 Mathematics  ·  Relations and Functions (Class 12)  ·  JEE

If f(x) = (x − 1)/(x + 1) for x ≠ −1, then f(f(x)) equals:

Answer: −1/x.

  • A x
  • B 1/x
  • C (x + 1)/(x − 1)
  • D −1/x

Correct answer: D. −1/x

Explanation: Substituting gives ((x−1)/(x+1) − 1)/((x−1)/(x+1) + 1) = (−2)/(2x) = −1/x.

Concept context

Types of relations, equivalence classes, one-one and onto functions, composition, and invertible functions

Read the full Relations and Functions (Class 12) notes →