Find the Domain |0.68x+3.47|=|-1.56x+2.63|

Problem

|0.68*x+3.47|=|−1.56*x+2.63|

Solution

1. Identify the type of expression provided. The expression is an equation involving absolute values on both sides.

2. Determine the domain of the functions involved. Both sides of the equation are absolute value functions of linear polynomials.

3. Recall that linear functions are defined for all real numbers.

4. Recall that the absolute value function is defined for all real numbers.

5. Conclude that there are no values of x that would result in division by zero, square roots of negative numbers, or undefined logarithms. Therefore, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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