Ononot — Let f(x) = x + 2x^2 + 3x^3 + \cdots = \sum{n=1}^{\infty} nx^

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Power Serieshard

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Let $f(x) = x + 2x^2 + 3x^3 + \cdots = \sum_{n=1}^{\infty} nx^n$ for $|x| < 1$ . If $g(x) = f^{-1}(x)$ (the inverse function), what is the coefficient of $x^2$ in the power series $g(x) = \sum_{n=1}^{\infty} b_n x^n$ ?