Let and g be the inverse of f, then value of g'(0) is .Reason (R) : If g(x) is inverse of f(x), then g(f(x)) = x.
Question
Let and g be the inverse of f, then value of g'(0) is .
Reason (R) : If g(x) is inverse of f(x), then g(f(x)) = x.
Solution
It seems like you've missed out on providing the actual question. However, I can explain how to find the derivative of the inverse function based on the information you've given.
The statement "If g(x) is inverse of f(x), then g(f(x)) = x" is correct. This is the definition of inverse functions.
To find the derivative of the inverse function at a point, you can use the formula (g'(x)) = 1 / (f'(g(x))).
So, to find g'(0), you first need to find the value of g(0), then find the derivative of f at that point, and finally take the reciprocal of that derivative.
Please provide the functions f(x) and g(x) to proceed with the calculation.
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