Let f:[0,∞)→[2,∞) be a differentiable increasing and onto functi – InterviewSolution

1.	Let f:[0,∞)→[2,∞) be a differentiable increasing and onto function satisfying f2(x)−2f(x)−√x=f2(y)−2f(y)−√y If g(x) be the inverse of f(x), then g′(4) is
Answer» Let $f : [0, \infty) \to [2, \infty)$ be a differentiable increasing and onto function satisfying $f^{2} (x) - 2 f (x) - \sqrt{x} = f^{2} (y) - 2 f (y) - \sqrt{y}$ If $g (x)$ be the inverse of $f (x)$ , then $g^{'} (4)$ is

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