Let $ f $ and $ g $ be differentiable functions on $ \mathrm{R} $ such that $fog$ is the identity function. If for some $ a, b \in R, g^{\prime}(a)=5 $ and $ g(a)=b $, then $ f^{\prime}(b) $ is equal to : [JEE Main 2020, 9 Jan (Shift 2)]

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Let \( f \) and \( g \) be differentiable functions on \( \mathrm{R} \) such that \(fog\) is the identity function. If f…

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