Question

Find the inverse function of Ax) = 2arcsinx
F1(x)=

Answer 1

sin(x/2)

Explanation:

If we have a function such that f(x) = 2arcsinx, then the inverse will occur when the domain and ranges switch... in order words, we can switch y and x and then solve for y in order to get the inverse function.

let f(x) = y

y = 2 arcsinx

x = 2arcsinf(1(x))

sin(x/2) = f1(x)