What is the domain of ?
Answer and explanation
Correct answer: C.
- Step 1: For the radical to be defined in real numbers: .
- Step 2: For the fraction to be defined: .
- Step 3: Intersect the conditions: and , which in interval notation is .
Answer
.
Why not the others: '' fails to exclude where division by zero occurs; '' excludes , where the square root of zero is perfectly well-defined; '' solves ignoring the radicand argument.
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