Find the Domain (1.9- square root of 1.9^2-4*0.24)/2

Problem

(1.9−√(,1.9−4⋅0.24))/2

Solution

1. Identify the expression as a constant numerical value rather than a function of a variable.

2. Determine the domain of a constant expression. Since there are no variables (like x that can vary, the expression is defined for all real numbers if the operations within it are valid.

3. Check the radicand (the expression inside the square root) to ensure it is non-negative.

4. Calculate the value inside the square root:

1.9=3.61

4⋅0.24=0.96

3.61−0.96=2.65

5. Conclude that since 2.65≥0 the square root is defined. Because there are no variables, the domain is the set of all real numbers, often expressed as (−∞,∞)

Final Answer

Domain=(−∞,∞)

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