If g is the inverse of a function f and ( ) 5 1 ‘ , 1 f x x = + then g x ¢( ) is equal to:

Question:

If $g$ is the inverse of a function $f$ and $f^{\prime}(x)=\frac{1}{1+x^{5}}$, then $g^{\prime}(x)$ is equal to

  1. $\frac{1}{1+\{g(x)\}^{5}}$

  2. $1+\{g(x)\}^{5}$

  3. $1+x^{5}$

  4. $5 x^{4}$


Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Sets, Relations and Functions chapter.
JEE Main Previous Year 2014

Solution:

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