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Find the Domain y=6-2x

Problem

y=6−2*x

Solution

  1. Identify the type of function provided. The equation y=6−2*x is a linear function, which is a specific type of polynomial function.

  2. Check for restrictions such as denominators that could be zero or square roots of negative numbers. In this expression, there are no fractions, radicals, or logarithms.

  3. Determine the set of all possible input values for x Since any real number can be multiplied by −2 and subtracted from 6 without resulting in an undefined value, the domain is all real numbers.

  4. Express the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain:(−∞,∞)


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