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thack1xJune7
thack1xJune7 thack1xJune7
  • 07-04-2016
  • Mathematics
Answered

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

Verified Answer :

apologiabiology
apologiabiology apologiabiology
  • 07-04-2016

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






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