MathematicsMedium63×since 2002Q3658Let f(x) = log_e(sin x), (0 < x < π\piπ) and g(x) = sin^–1 (e^–x ), (x ≥\ge≥ 0). If α\alphaα is a positive real number such that a = (fog)'(α\alphaα) and b = (fog)(α\alphaα), then :Aaα\alphaα² + bα\alphaα - a = -2α\alphaα²Baα\alphaα² + bα\alphaα + a = 0Caα\alphaα² - bα\alphaα - a = 0Daα\alphaα² - bα\alphaα - a = 1Check answerSkip