# How do you find the inverse of # f(x)= x^2-7#?

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To find the inverse of ( f(x) = x^2 - 7 ), swap the roles of ( x ) and ( y ) and solve for ( y ). Then, the inverse function is ( f^{-1}(x) = \sqrt{x + 7} ) for ( x \geq -7 ) and ( f^{-1}(x) = -\sqrt{x + 7} ) for ( x \geq -7 ).

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