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

For invertible functions f and g, (g∘f)⁻¹ equals:

Answer: f⁻¹∘g⁻¹.

  • A f∘g
  • B (f∘g)⁻¹
  • C f⁻¹∘g⁻¹
  • D g⁻¹∘f⁻¹

Correct answer: C. f⁻¹∘g⁻¹

Explanation: Undoing a composite reverses the order - like removing socks then shoes in the opposite order they were put on.

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 →