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Find the Domain y=7-x

Problem

y=7−x

Solution

  1. Identify the type of function provided. The expression y=7−x is a linear function, which is a specific type of polynomial function.

  2. Determine if there are any restrictions on the input variable x For polynomial functions, there are no denominators that could be zero and no even-indexed roots (like square roots) that could contain negative values.

  3. Conclude that since there are no mathematical constraints on the value of x the function is defined for all real numbers.

  4. Express the domain in interval notation or set-builder notation.

Final Answer

Domain: *(−∞,∞)


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