Find the Domain 4|x-10|-23=37

Problem

4*|x−10|−23=37

Solution

1. Identify the type of expression given. The task asks for the domain of the equation 4*|x−10|−23=37

2. Analyze the components of the equation. The equation consists of an absolute value function, multiplication by a constant, and subtraction of constants.

3. Determine if there are any restrictions. A domain restriction occurs if there is a denominator that could be zero, a square root of a negative number, or a logarithm of a non-positive number.

4. Conclude the domain. Since the expression 4*|x−10|−23 is a linear absolute value transformation, it is defined for all real numbers x There are no values of x that make the expression undefined.

Final Answer

Domain=(−∞,∞)

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