Question
Real Analysis Question on Functions of One Real Variable
Let f : R→R be a bijective function such that for all x ∈ R, f(x) = n=1∑∞anxn and f−1(x)=n=1∑∞bnxn, 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)