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Find the Domain |3x-6|=15

Problem

|3*x−6|=15

Solution

  1. Identify the type of expression provided. The task asks for the domain of the equation |3*x−6|=15

  2. Determine the nature of the expression. Since |3*x−6|=15 is an equation rather than a function, the domain refers to the set of all possible values for the variable x for which the expression is defined.

  3. Analyze the components of the equation. The expression involves an absolute value and a linear polynomial.

  4. Conclude that because linear polynomials and absolute value functions are defined for all real numbers, there are no restrictions (such as division by zero or square roots of negative numbers) on the input x

Final Answer

Domain=(−∞,∞)


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