What is the inverse of x=4-4y+y^2

To find invers

1. solve for y

2. replace y with xinverse

so

x=4-4y+y^2

reorder right side

x=y^2-4y+4

factor right side

x = (y-2) ^2

squaer root both sides

+/-√x=y-2

add 2 to both sides

2+/-√x=y

switch x and y

2+/-√y=xinverse

xinverse=2+√y or 2-√y

subtract 4 from both sides