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

If g∘f is defined, which condition must hold?

Answer: The range of f must be contained in the domain of g.

  • A The range of f must be contained in the domain of g
  • B The domain of f must equal the range of g
  • C f and g must both be one-one functions
  • D f and g must have identical formulas

Correct answer: A. The range of f must be contained in the domain of g

Explanation: Outputs of f become inputs of g, so they must lie inside g's domain.

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 →