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

If f(x) = x + 1 and g(x) = x², then (f∘g)(2) equals:

Answer: 5.

  • A 6
  • B 4
  • C 5
  • D 9

Correct answer: C. 5

Explanation: g(2) = 4, then f(4) = 5 - different from (g∘f)(2), showing composition is not commutative.

Concept context

Types of relations, equivalence classes, one-one and onto functions, composition, and invertible functions

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