Find the inverse of y =(x-6)^2

To find the inverse of a function, we need to switch the roles of x and y and then solve for y.

So, first, we swap x and y:

x = (y - 6)^2

Next, we solve for y:

x = (y - 6)^2
√x = |y - 6|
y = √x + 6 or y = -√x + 6

Therefore, the inverse of y = (x - 6)^2 is:

y = √x + 6 or y = -√x + 6