imo class 12 relations and functions

If the function f : R → R defined by f(x) = ax + b is bijective, then:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If the function f : R → R defined by f(x) = ax + b is bijective, then:

  • A. a = 0, b = 0
  • B. a = 0, b ≠ 0
  • C. a ≠ 0
  • D. a = 1, b = 0

Answer: C) a ≠ 0

Explanation: f(x) = ax + b is bijective on R iff a ≠ 0. If a = 0, f is constant, not one-one and not onto.

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