Let f and g be Differentiable Function Satisfying g’(a) = 2, g(a) = b and f O G = I (identity Function). Then f’(b) Is Equal To

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Question

Let f and g be differentiable function satisfying g’(a) = 2, g(a) = b and f o g = I (identity function). Then f’(b) is equal to

easy

Solution

Correct option is

1/2

Putting x = a, we get f’(g(a)) g’(a) = 1 ⇒ f’(b) = 1/2.

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