we are given
[tex]y=cos^{-1}(x-\pi)[/tex]
Since, we have to find inverse function
step-1:
Set y=f(x)
It is already there
step-2:
Switch x and y
[tex]x=cos^{-1}(y-\pi)[/tex]
step-3: Solve for y
We can take cos on both sides
[tex]cos(x)=cos(cos^{-1}(y-\pi))[/tex]
we can simplify it
[tex]cos(x)=y-\pi[/tex]
now, we can solve for y
[tex]cos(x)+\pi=y-\pi+\pi[/tex]
[tex]cos(x)+\pi=y[/tex]
[tex]y=\pi +cos(x)[/tex]..............Answer
