Question

Write the equation for the inverse of the function y=Cos^-1(x-pi)

Answer 1

Answer:

The answer is C

Step-by-step explanation:

 

Answer 2

we are given

$y=cos^{-1}(x-\pi)$

Since, we have to find inverse function

step-1:

Set y=f(x)

It is already there

step-2:

Switch x and y

$x=cos^{-1}(y-\pi)$

step-3: Solve for y

We can take cos on both sides

$cos(x)=cos(cos^{-1}(y-\pi))$

we can simplify it

$cos(x)=y-\pi$

now, we can solve for y

$cos(x)+\pi=y-\pi+\pi$

$cos(x)+\pi=y$

$y=\pi +cos(x)$..............Answer