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📐 Mathematics  ·  Relations and Functions  ·  JEE

Which function has an inverse?

Answer: f(x) = 2x + 5.

  • A f(x) = x²
  • B f(x) = |x|
  • C f(x) = sin x (domain R)
  • D f(x) = 2x + 5

Correct answer: D. f(x) = 2x + 5

Explanation: f(x) = 2x + 5 is bijective (one-one and onto over R). Only bijective functions have inverses.

Concept context

Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.

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