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NDA2012MathematicsFunctionsActual

Consider the following statements: 1. If f(x)=x^3 and g(y)=y^3 then f=g . 2. Identity function is not always a bijection. Which of the above statements is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

A. 1 only

Step-by-step solution

aligned & f(x)=x^3 & g(y)=y^3 aligned f and g are identical functions f=gf(x)=x is an identity function and identity function is always one-one-onto.

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