Asked by Marcus
Domain of g(x)
g(x)= sqrt(3-(sqrt(25-x^2))
I got -5, -4, 4, and 5.
I wrote it like [-5, -4] U [4, 5]
I don't think that's right?
g(x)= sqrt(3-(sqrt(25-x^2))
I got -5, -4, 4, and 5.
I wrote it like [-5, -4] U [4, 5]
I don't think that's right?
Answers
Answered by
Dr. Jane
Under the overall square root you have
3 - square root of 25-x^2
What is under the radical sign has to be positive.
Domain is the X values that will result in a solution and not undefined.
It looks like you can have x=-5 and x =5 because that will give a square root of 0 to subtract from 3. That works. I see that your -4 and 4 also will work.
Those values are included and you used the [ ] instead of ( ) so that is correct and you used the U and that is correct because both sets of the values work. You wouldn't want an intersection.
I agree with your answer.
It could also be written as
-5 =<x=< -4 or 4 =< x =<5
but most likely your teacher wants interval notation whihc your provided.
3 - square root of 25-x^2
What is under the radical sign has to be positive.
Domain is the X values that will result in a solution and not undefined.
It looks like you can have x=-5 and x =5 because that will give a square root of 0 to subtract from 3. That works. I see that your -4 and 4 also will work.
Those values are included and you used the [ ] instead of ( ) so that is correct and you used the U and that is correct because both sets of the values work. You wouldn't want an intersection.
I agree with your answer.
It could also be written as
-5 =<x=< -4 or 4 =< x =<5
but most likely your teacher wants interval notation whihc your provided.
Answered by
Marcus
Thank you!
Answered by
Dr. Jane
You are welcome!
There are no AI answers yet. The ability to request AI answers is coming soon!