Math Problem Statement
Знайди область визначення функції y = √(3 - x + 5.2 - 81). Вибери правильну відповідь.
Solution
To find the domain of the function given:
we need to analyze the expression inside the square root because the square root function is only defined for non-negative values. Therefore, we need:
Simplify the expression:
This gives:
or
Thus, the domain of the function is:
Now, looking at the answer choices, it appears none of the provided options match this exact result. Therefore, the correct response would be:
"Інша відповідь" (Another answer)
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Math Problem Analysis
Mathematical Concepts
Domain of a Function
Square Root Function
Inequalities
Formulas
√(expression) is defined when expression ≥ 0
Theorems
Properties of square roots in functions
Suitable Grade Level
Grades 9-10