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Sandip posted an Question
March 15, 2021 • 02:02 am 30 points
  • IIT JAM
  • Mathematical Statistics (MS)

Let f:r r be a function defined by loint adi (x) = x + 5x +1îx 15, then, which of the following statements is true? indifp institute d (a) fis both one-one and

Let f:R R be a function defined by loint Adi (x) = x + 5x +1îx 15, Then, which of the following statements is TRUE? Indifp Institute d (A) fis both one-one and onto (B)fis neither one-one nor onto (C) f is one-one but NOT onto (D) f is onto but NOT one-one suj 6uiziuet

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  • Alka gupta best-answer

    f is both one one and onto..... because f'(x) = 7x^6 +15x^2 +11 which is always greater than zero for all x belongs to R . f(x) is strictly increasing function which intersect x - axis only one tym.....we know that every strictly increasing function is one one onto

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