SOLUTION: what restriction on the domain must be made when identifying the inverse of the function y=x^2

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Question 1022494: what restriction on the domain must be made when identifying the inverse of the function y=x^2

Answer by josgarithmetic(39617) About Me  (Show Source):
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It will be the RANGE of y=x^2. Also need to specify two different inverses. There will be an upper branch and a lower branch. The domain will be the same for either branch.

f%28x%29=y=x%5E2, domain is all real numbers.


Using g and h as the two possible inverses of f,
g%28x%29=-sqrt%28x%29 and h%28x%29=sqrt%28x%29
x must be real numbers greater than or equal to 0.