Interpret complex polynomial/rational expressions by treating parts as single units.
Find the restrictions that remain after simplifying an expression
Problem
What restrictions remain after simplifying this complex expression? \((x^2-1)/(x-1)=x+1\)
Big Picture
What this problem is really about
Record restrictions from the original expression before simplifying. Canceling a common factor creates a shorter formula for the inputs that were already allowed; it does not make an originally undefined input valid. The simplified formula and the original expression therefore agree on their shared domain, but they need not have identical domains.
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