Find the Domain |3-7x|=4

Problem

|3−7*x|=4

Solution

1. Identify the type of expression. The task asks for the domain of the equation |3−7*x|=4

2. Determine the constraints. The expression |3−7*x| is an absolute value function, and the right side is a constant.

3. Analyze the domain. For any real number x the expression 3−7*x is a polynomial, which is defined for all real numbers.

4. Conclude that there are no values of x that make the expression undefined (such as division by zero or square roots of negative numbers). Therefore, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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