Question

Find the inverse function of F(x)=2 arccos xF^-1(x)=

Answer 1

Given the inverse function

`f(x)\text{ = 2arccosx}`

A function g is the inverse of f if for y = f(x) , x = g(y)

`\begin{gathered} y\text{ = 2arccosx} \\ \arccos x\text{ = }(y)/(2) \\ \arccos a\text{ = b} \\ a=\cos (b) \end{gathered}`
`\begin{gathered} x=\text{ cos(}(y)/(2)) \\ \text{substitute y = x} \\ y=\cos ((x)/(2)) \end{gathered}`

Hence the correct answer is Option B