Question 210 of 401MediumMCQ
Let f(x)=loge(sinx), (0<x<π) and g(x)=sin−1(e−x), (x≥0). If α is a positive real number such that a=(f∘g)′(α) and b=(f∘g)(α), then: Solutions · 1
Official solution
f(g(x))=ln(sin(sin−1e−x))=ln(e−x)=−x. So b=(f∘g)(α)=−α and a=(f∘g)′(α)=−1.
aα2−bα−a=−α2+α2+1=1. Answer the question to unlock