Sahin Sk posted an Question
February 16, 2022 • 04:02 am 30 points
  • IIT JAM
  • Mathematics (MA)

Q.33 define f:[0,1][0,1] by ifx = 0, fo) = { ifx =for some m, n e n with m sn and gcd(m, n) 1, ifx e [0,1] is irrational. and define g: [0,1]- [0,1] by (ifx = 0

Q.33 Define f:[0,1][0,1] by ifx = 0, fo) = { ifx =for some m, n E N with m Sn and gcd(m, n) 1, ifx E [0,1] is irrational. and define g: [0,1]- [0,1] by (ifx = 0, gx), ifxE (0.1 Then which of the following is/are true? (A)fis Riemann integrable on [0,1]. (B) g is Riemann integrable on [0,1]. (C) The composite function fo g is Riemann integrable on [0,1]. (D)|The composite function gofis Riemann integrable on [0,1. g institu stitu ute of

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  • Anonymous User best-answer

    gof(x) =1 for all x€(0,1] and gof(0)=0 gof(x)=1 is constant function so R integral

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