Find the Domain 3|y+4|-12=0

Problem

3*|y+4|−12=0

Solution

1. Identify the type of expression. The given equation is an absolute value equation involving the variable y

2. Determine the constraints. In a standard algebraic equation like this, the domain refers to the set of all possible input values for the variable y that make the expression defined.

3. Check for restricted operations. There are no square roots of negative numbers, no denominators that could be zero, and no logarithms in the expression.

4. Conclude that the absolute value function is defined for all real numbers. Any real value substituted for y will result in a well-defined real number when performing the operations of addition, absolute value, and multiplication.

Final Answer

Domain: *(−∞,∞)

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