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

If f(x) = x + 5, then f⁻¹(x) equals:

Answer: x − 5.

  • A 5 − x
  • B 1/(x + 5)
  • C 5x
  • D x − 5

Correct answer: D. x − 5

Explanation: Solving y = x + 5 for x gives x = y − 5, so f⁻¹(x) = x − 5.

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 →