Create and solve one-variable equations and inequalities from contexts using all studied expression types, including simple root functions.
Determine domain restrictions before solving a modeled equation
Problem
What domain restrictions apply before solving this modeled equation? \(1/(x~-~3)~=~5\)
Big Picture
What this problem is really about
Domain restrictions come from the original expression, before any algebra changes its appearance. For a rational equation, locate every denominator and find the inputs that make one equal zero. Record those inputs as exclusions so a later denominator-clearing step cannot accidentally admit a value where the original model was undefined.
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