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$Let f and g be differentiable functions such that f o g = I, the identity function,$ $If g^{'} (a) = 2 and g (a) = b, then f (b) =$

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Correct option is B

(fog)'(x)=x for all x⇒ (fog)'(a)=1 ⇒fgag'a=1⇒f(b)g'a=1⇒2f(b)=1⇒ f(b)=12.Hence (2) is the correct answer.

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Let f and g be differentiable functions such that fog=I, the identity function, If g′(a)=2 and g(a)=b, then f(b)=

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Ready to Test Your Skills?

free study material

$Let f and g be differentiable functions such that f o g = I, the identity function,$ $If g^{'} (a) = 2 and g (a) = b, then f (b) =$