Question

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

Answer 1

The answer is C

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