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📐 Mathematics  ·  Relations and Functions  ·  JEE

The inverse of the function f(x) = (x − 3)/2 is:

Answer: 2x + 3.

  • A 2x + 3
  • B 2x − 3
  • C (x + 3)/2
  • D x/2 + 3

Correct answer: A. 2x + 3

Explanation: Let y = (x − 3)/2, solve for x: x = 2y + 3, so f⁻¹(x) = 2x + 3.

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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