Interpret complex polynomial/rational expressions by treating parts as single units.
Find rational domain restrictions from the denominator
Problem
For \(1/(x~-~4)\), identify the denominator, solve for its zero, and state the real-domain exclusion.
Big Picture
What this problem is really about
For a rational expression, the denominator is the gatekeeper for the domain. Treat the complete denominator as one unit, find the input that makes that unit zero, and exclude it because division by zero is undefined. That value is a restriction, not a solution to include.
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