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Deepak Patra posted an Question
November 15, 2021 • 23:13 pm 30 points
  • IIT JAM
  • Mathematics (MA)

37. a bijection is a map that is both one-one and onto. it is given that f:r->r is nota bijection. which of the following must be true? (a.) if fis not one-one,

37. A bijection is a map that is both one-one and onto. It is given that f:R->R is nota bijection. Which of the following must be true? (a.) If fis not one-one, thenfis not onto. (b.)Iffis not onto, thenfis not one-one. (c.)fis neither one-one nor onto. (d.) Iffis one-one, thenfis not onto.

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    Deepak singh 1 Best Answer

    Refer attachment

    cropped7366025682794385250.jpg
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    sir f(x) = sinx is not one one and not onto from R to R .. so i think it is not correct example for option a ????

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    take f(x) = tanx not sinx

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