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Find the Domain y=3x+12

Problem

y=3*x+12

Solution

  1. Identify the type of function. The given equation y=3*x+12 is a linear function, which is a specific type of polynomial function.

  2. Check for restrictions. In a polynomial function, there are no denominators containing variables that could result in division by zero, and there are no even roots (like square roots) that could result in imaginary numbers.

  3. Determine the set of all possible input values for x Since any real number can be multiplied by 3 and added to 12 the function is defined for 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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