SOLUTION: Given the function, f(x)=(x+2)^2, which is not one-to-one, a) Restrict the function's domain so that the resulting function is one-one. b)Find the inverse of the function with

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Question 803358: Given the function, f(x)=(x+2)^2, which is not one-to-one,
a) Restrict the function's domain so that the resulting function is one-one.
b)Find the inverse of the function with the restricted domain.

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Pick either the left side or the right side of the vertex. This point is at (-2,0), so I will pick the left side of , for . This will be one-to-one.

The cheap way to get its inverse is ,
, obtained from the one-to-one function for x<=-2

between and , you want the one that is decreaing; looking at a graph would help... It would be


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