SOLUTION: Given f(x)=(x-2)^2+3, what is the inverse of the equation.

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Question 1090505: Given f(x)=(x-2)^2+3, what is the inverse of the equation.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use x,y nomenclature,
y=%28x-2%29%5E2%2B3
Interchange x and y, solve for y,
x=%28y-2%29%5E2%2B3
%28y-2%29%5E2=x-3
y-2=0+%2B-+sqrt%28x-3%29
y=2+%2B-+sqrt%28x-3%29
f%5E%28-1%29=2+%2B-+sqrt%28x-3%29