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AP EAMCET202021 Sep 2020Morning ShiftMathematicsFunctionsActual

If (f(x)=e^x ; g(x)= (x) ) for all (x [1, ) ), then (f g ) is ____

Options

  1. AA one-one function
  2. BAn onto function
  3. CNot a function
  4. DBijective

Correct answer

D. Bijective

Step-by-step solution

For (x [1, ), f(x)=e^x ) and (g(x)= x ) ( (f g)(x)=e^ x =x, x [1, ) ) is a bijective function. Hence, option (d) is correct.

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