Find the Domain |2x-6|=18

Problem

|2*x−6|=18

Solution

1. Identify the type of expression provided. The expression |2*x−6|=18 is an equation, not a function.

2. Determine the domain of the expression. In the context of an equation ƒ(x)=g(x) the domain refers to the set of all real numbers x for which both sides of the equation are defined.

3. Check for restrictions. The expression involves an absolute value and a linear polynomial. Absolute value functions and linear polynomials are defined for all real numbers.

4. Conclude that there are no values of x that would result in division by zero, square roots of negative numbers, or undefined logarithms.

Final Answer

Domain: *(−∞,∞)

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