Find the domain,

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- anonymous

Find the domain,

- katieb

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- anonymous

|dw:1361134701384:dw|
Would it be - infinity 6?

- anonymous

okay for square roots you have a limiting situation. You cannot take a square root of a negative number. So when this equation equals a number below zero, it will not work. Therefore your domain would equal \[[6, \infty)\] because at x=6 it would be the square root of zero which is zero, however at anything lower it would be the square root of a negative number which cannot exist.

- anonymous

Wouldnt the infinity be negative though?

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## More answers

- anonymous

no, the infinity must be positive. Negative infinity means every number less than zero, your equation cannot have anything less than 6, and since negative infinity includes -7, -8, -9, etc it cannot be the answer.

- anonymous

I don't have a just 6 & positive infinity answer, thats why its throwing me off

- anonymous

hmmmmm, can you take a picture or type the rest of the answers?

- mathstudent55

Solve the inequality that represents the problem. You want all values of x that make the radicand non-negative.
6 - x >= 0
-x >= -6
x <= 6

- anonymous

oh, I'm retarded, if its a NEGATIVE number the value is valid, if x = 7 for example, then the equation becomes wrong, you were right it is (negative inf, 6] sorry!

- mathstudent55

(-infinity, 6]

- anonymous

Haha, no problem.
It happens. :P
But thanks anyways.!

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