Question: Suppose f is a differentiable function such that f(g(x)) = x and f(x) = 1 + [f(x)]2. Show that g(x) = 1/(1 + x2).

Suppose f is a differentiable function such that f(g(x)) = x and f’(x) = 1 + [f(x)]2. Show that g’(x) = 1/(1 + x2).

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