Question

Find the inverse of y=(×-9)^2

Answer 1

To find the inverse of y=(×-9)^2 replace y with x and x with y and then solve for y.


`y=(x-9)^2`

`x=(y-9)^2`

`\pm √(x) = √((y-9)^2)`

`\pm√(x) = (y-9)`

`\pm√(x) =y-9`

`\pm√(x) =y- 9 + 9`

`9 \pm√(x) = y`

`y = 9\pm√(x)`

`f(x)^(-1) = 9 \pm√(x)`