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JEE Main20244 Apr 2024Morning ShiftMathematicsDifferentiationActual

Let f(x)=x^5+2 e ^ x / 4 for all x R . Consider a function g(x) such that (g f)(x)=x for all x R . Then the value of 8 g^ (2) is :

Options

  1. A2
  2. B8
  3. C4
  4. D16

Correct answer

D. 16

Step-by-step solution

aligned & f(x)=2 & when x=0 & g^ (f(x)) f^ (x)=1 & g^ (2)= 1 f^ (0) & f^ (x)=5 x^4+ 2 4 e^ x / 4 & g^ (2)=2 & Ans =16 & Option (1) aligned

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