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The inverse of ( x^2 ) is not a function over the entire set of real numbers because it fails the horizontal line test; for every positive ( y ), there are two corresponding ( x ) values (one positive and one negative). However, if we restrict the domain to non-negative numbers (( x \geq 0 )), the inverse can be expressed as ( y = \sqrt{x} ). Conversely, if we restrict to non-positive numbers (( x \leq 0 )), the inverse would be ( y = -\sqrt{x} ).

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2w ago

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