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

If f : ℝ → ℝ is f(x) = 2x − 3, then f⁻¹(x) is:

Answer: (x + 3)/2.

  • A 1/(2x − 3)
  • B (x + 3)/2
  • C (x − 3)/2
  • D 2x + 3

Correct answer: B. (x + 3)/2

Explanation: Solving y = 2x − 3 gives x = (y + 3)/2.

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 →