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Find the Domain 9=6+(z-8)/4

Problem

9=6+(z−8)/4

Solution

  1. Identify the type of expression given. The expression 6+(z−8)/4 is a linear polynomial expression in terms of z

  2. Check for restrictions such as denominators that could be zero or square roots of negative numbers. In this expression, the denominator is a constant 4 which is never zero.

  3. Determine the domain based on the lack of restrictions. Since there are no values of z that make the expression undefined, the domain consists of all real numbers.

Final Answer

Domain=(−∞,∞)


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