Inverse with Coordinates: A. Again , recall that an inverse can be formed by swi

Question

Inverse with Coordinates:

A. Again , recall that an inverse can be formed by switching the x- and y- coordinates in a relation. Us this method to make a table and graph for the inverse of:
y= (x-3)^2-1

B. Is this an inverse function? Why or Why not.

***Please I need to do well on this problem. I need the x coord. Y's given are(0,1,2,3,4,5,6,) It would help to see it graphed,but if i get the x coord i can prob. manage that. I need to also know if this inverse a function, why?

* I have had two people answer but they are not answering fully...I need the x coord to go with the y's given for the inverse of the equation given which I need also - the invese equation and if it is a function and why or why not.  That is4 things 1. x coor  2. inverse of given equation, 3. is it a function?  4 Why/Why not??????

HELP

Explanation / Answer

A. the domain of x is all real number, the range of y is Y[-1, infinite)

y+1=(x-3)^2
|x-3| = sqrt(y+1)

if we restrict to x>=3, then

x-3 = sqrt(y+1)

or x = 3+ sqrt(y+1)

if we restrict to x<=3, then 3-x = sqrt(y+1)

or x = 3 - sqrt(y+1)

B. that is not an inverse function because function requires one-to-one by definition

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