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

For f(x) = x/(x − 1), x ≠ 1, the composition f(f(x)) equals:

Answer: x.

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

Correct answer: A. x

Explanation: Substituting shows f is its own inverse, so f(f(x)) = 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 →