PG entrance exam IIT JAM 2025 Mock Test Mathematical Science Analysis Sequences & Series (Convergence)
Let f : ℝ → ℝ be a bijective function such that for all x ∈ ℝ, f(x) = \(\rm \displaystyle \sum_{n=1}^{\infty} a_n x^n\) and f-1(x) = \(\rm \displaystyle \sum_{n=1}^{\infty} b_n x^n\), where f-1 is the inverse function of f. If a1 = 2 and a2 = 4, then b1 is equal to _______________.
Enter numerical value using the virtual keypad. Round off where necessary.