Find the Domain 7|2x-4|=3

Problem

7*|2*x−4|=3

Solution

1. Identify the nature of the expression. The given equation 7*|2*x−4|=3 is a conditional equation involving an absolute value, not a function.

2. Determine the domain of the variable x In the expression 2*x−4 there are no denominators containing variables, no square roots of negative numbers, and no logarithms.

3. Conclude that the variable x can take any real number value within the expression, as the absolute value function is defined for all real numbers.

4. Note that while the equation itself only has specific solutions, the domain of the expressions used in the equation is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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