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📐 Mathematics  ·  Sets  ·  JEE

If f(x) = 2x + 3, then f(5) =

Answer: 13.

  • A 10
  • B 11
  • C 13
  • D 15

Correct answer: C. 13

Explanation: f(5) = 2(5) + 3 = 10 + 3 = 13.

Set Operations: Union, Intersection, ComplementUABA∩BOutside both circles = (A∪B)' = A'∩B' (De Morgan)A∪B = everything in either circle; A∩B = only the overlap

A Venn diagram makes set identities visual: A∪B is everything inside either circle, A∩B is only the overlap, and the region outside both circles represents the complement of their union - directly illustrating De Morgan's law (A∪B)′ = A′∩B′.

Concept context

Types of sets, operations (union/intersection/complement), relations, and types of functions with domain and range

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