SOLUTION: Show that the inverse of the function x^2 - 4x + 3 is 2 + sqrt(1+x)

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Question 638456: Show that the inverse of the function x^2 - 4x + 3 is 2 + sqrt(1+x)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Show that the inverse of the function
x^2 - 4x + 3 is 2 + sqrt(1+x)
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y=x^2-4x+3
to find the inverse, interchange x and y, then solve for y.
x=y^2-4y+3
y^2-4y=x-3
complete the square
y^2-4y+4=x-3+4
(y-2)^2=x+1
y-2=√(x+1)
y^-1=2+√(1+x)