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📐 Mathematics  ·  Relations and Functions  ·  JEE

For f(x) = (4x + 3)/(6x − 4), x ≠ 2/3, the composition f(f(x)) equals:

Answer: x.

  • A x
  • B 1/x
  • C −x
  • D (6x − 4)/(4x + 3)

Correct answer: A. x

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

Concept context

Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.

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