Let A = {x ∈ R: −1 < x < 1}. Which of the following is/are bijective functions from A to itself? 1. f(x) = x|x| 2. g(x) = cos(πx)

f(x) = x|x|: For x ≥ 0, f(x) = x²; for x < 0, f(x) = −x². On (−1,1), f maps to (−1,1), is strictly increasing, hence bijective. TRUE. g(x) = cos(πx): On (−1,1), cos(πx) ranges over (−1,1] but is not one-to-one (e.g., g(−0.5) = g(0.5) = 0). Not bijective. FALSE. Only statement 1 is correct.