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Find the Domain y=-6x+2

Problem

y=−6*x+2

Solution

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

  2. Determine if there are any restrictions. For a function to have a restricted domain, there must be operations that are undefined for certain real numbers, such as division by zero or taking the square root of a negative number.

  3. Analyze the expression −6*x+2 Since there are no denominators containing variables and no even-indexed roots, any real number can be substituted for x

  4. Conclude the domain. Since any real number x will result in a defined real number y the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)


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