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

The function f : ℝ → ℝ given by f(x) = 3x + 5 is:

Answer: Bijective.

  • A Bijective
  • B One-one but not onto
  • C Onto but not one-one
  • D Neither one-one nor onto

Correct answer: A. Bijective

Explanation: It is strictly increasing so injective, and every real y is attained by x = (y − 5)/3, so surjective.

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 →