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An expression is well-defined if you can compute its value without any illegal operations.  Examples of expressions that are [i]not[/i] well-defined include $1/0$ and $\sqrt{-10}$.  For what values of $x$ is the expression
\frac{\sqrt{4x + 1 + 8 - 3x}}{\sqrt{2x} - 5}
well-defined?

 
 Dec 4, 2023

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