Question

I think I got this right but I was just wanting to make sure

Answer 1

The function is given to be:

`f(x)=2\arccos x`

We can rewrite the function using y:

`y=2\arccos x`

To find the inverse, replace y with x and vice-versa:

`x=2\arccos y`

Lastly, we solve for y:

`\begin{gathered} \arccos y=(x)/(2) \\ \therefore \\ y=(1)/(\arccos)((x)/(2)) \\ But:\cos x=(1)/(\arccos x) \\ Hence: \\ y=\cos((x)/(2)) \end{gathered}`

Therefore, the correct option is the SECOND OPTION: