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JEE Main2009MathematicsFunctionsActual

Let f(x)=(x+1)^2-1, x -1 Statement-1: The set x: f(x)=f⁻¹(x) = 0,-1 Statement-2 : f is a bijection.

Options

  1. AStatement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1
  2. BStatement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
  3. CStatement-1 is true, Statement-2 is false
  4. DStatement-1 is false, Statement-2 is true

Correct answer

C. Statement-1 is true, Statement-2 is false

Step-by-step solution

There is no information about co-domain therefore f(x) is not necessarily onto.

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