Problem 110 of 7
Determine the domain of combined function ln(x-3).
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intersect domains and exclude quotient zeros.
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Domain must respect all component domains and exclude quotient zeros.
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Solution
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1. Intersect the domains of all component functions.
2. For quotients, remove inputs that make the denominator zero.
3. State the final allowed input set.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Ignoring denominator zeros or square-root restrictions.