Mathematics Relations and Functions

Let f(x) = log_e(sin x), (0 < x < π) and g(x) = sin^-1 (e^-x), (x ≥ 0). If α is a positive real number such that a = fog' α and b = fog α, then:"

1

aα²+ bα + a = 0

2

aα²- bα - a = 1

3

aα²- bα - a = 0

4

aα²+ bα - a = - 2α²

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