Inverse function of function y = x square + 1 (x is less than 0)

Obviously, the range of function y = x square + 1 (x is less than 0) is Y > 1
X square = Y-1
Because x is less than 0
So, x = - radical (Y-1)
So, the inverse function of the function y = x squared + 1 (x is less than 0) is
Y = - radical (x-1) (x > 1)

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