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Deepak Patra posted an Question
December 17, 2021 • 04:05 am 30 points
  • IIT JAM
  • Mathematics (MA)

Let f: rr and g : r>r be two non-constant differentiable functions. if |fla) = (ea)=re)) g (r) for all z e r, and f(1) = g(2) = 1, then which of the following s

Let f: RR and g : R>R be two non-constant differentiable functions. If |fla) = (ea)=re)) g (r) for all z e R, and f(1) = g(2) = 1, then which of the following statement(s) is (are) TRUE? (1) f(2) <1- log, 2 (2) f(2) >1-log, 2 (3) g(1)> 1- loge 4) 9(1) <1- log, 2

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