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Question

Real Analysis Question on Functions of One Real Variable

Let f : RR\R → \R be a bijective function such that for all x ∈ R, f(x) = n=1anxn\sum\limits^{\infin}_{n=1}a_nx^n and f1(x)=n=1bnxnf^{-1}(x)=\sum\limits_{n=1}^{\infin}b_nx^n, where f-1 is the inverse function of f. If a1 = 2 and a2 = 4, then b1 is equal to _________.

Answer

The correct answer is 0.49 to 0.51. (approx)