Problem 27 of 7
Determine the domain of square-root function f(x)=sqrt(16-x^2).
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
require radicand nonnegative.
Hidden until you reveal it.
Require the radicand to be nonnegative.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Set the radicand greater than or equal to zero.
2. Solve the resulting inequality.
3. Write the domain with included endpoints.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Requiring the square root output to be positive as an input restriction.