Let f and g be differentiable functions on
Question:

Let $f$ and $\mathrm{g}$ be differentiable functions on $\mathbf{R}$ such that fog is the identity function. If for some $a, b \in \mathbf{R}, g^{\prime}(a)=5$ and $g(a)=b$, then $f^{\prime}(b)$ is equal to :

  1. $\frac{2}{5}$

  2. 1

  3. $\frac{1}{5}$

  4. 5


Correct Option: , 3

Solution:

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