Math Problem Statement
Solution
To determine the domain of the function , we must consider the condition under which the expression inside the square root is non-negative. The square root function is defined only for non-negative values.
Steps:
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The condition for the square root to be defined is:
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Solve the inequality:
Thus, the domain of the function is .
Correct Answer:
The correct choice is .
Would you like a deeper explanation or a graph of the function to illustrate this? Here are 5 related questions for further exploration:
- What is the range of ?
- How do square root functions behave when their domain changes?
- What happens if we change the function to ?
- Can a square root function ever have negative outputs?
- How would you express the domain and range of this function in interval notation?
Tip: Always check for restrictions like square roots and division by zero when determining a function's domain!
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Math Problem Analysis
Mathematical Concepts
Domain of a function
Inequalities
Square root functions
Formulas
√(expression) is defined if expression ≥ 0
Theorems
Properties of inequalities
Definition of the domain of square root functions
Suitable Grade Level
Grades 9-12