Problem 4 of 34fun-004
The domain of is the set of all real numbers for which is a real number. Which inequality describes the domain?
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Solution walkthrough1:45
- The domain is every input the rule accepts. A square root is real only when the number under it is or more.
- So the expression under the root must be at least zero: .
- Subtract : . Divide by : . Dividing by a positive keeps the direction.
- The graph starts at , where , and runs to the right. Left of there is no graph.
- Traps: skips dividing by . leaves out , but is fine. has the wrong sign.