How do you find the inverse of f(x)=x−2x+2?
1 Answer
Dec 13, 2015
Explanation:
y=x−2x+2
Switch
x=y−2y+2
Multiply both side by
(y+2)⋅x=(y−2y+2)(y+2)
Distribute
xy+2x=y−2
Bring all "y" term to one side and factor
2x+2=y−xy
Factor, and solve for
2(x+1)=y(1−x)
2(x+1)1−x=y
Replace
2(x+1)1−x=f−1(x)