Solve simple rational and radical equations and identify extraneous solutions.
Identify domain restrictions before solving a rational or radical equation
Problem
What domain restrictions apply before solving this equation? \(1/(x-4)+2=0\)
Big Picture
What this problem is really about
Find restrictions by locating operations that can become undefined before trying to solve the equation. For a rational expression, set each denominator equal to zero to identify forbidden inputs, then write those values as exclusions. A denominator restriction removes isolated values from the domain; it does not create an interval condition or supply a solution.
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