Determine the domain of this function

f(x)= square root (x + 6)/ x^2-4x+3

please explain how to do this and please put answer in interval form.

ok so i factor out the denominator (x-3)=0 (x-1)=0

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- Nov 11th 2009, 10:12 PMrefreshDetermine the domain of this function
Determine the domain of this function

f(x)= square root (x + 6)/ x^2-4x+3

please explain how to do this and please put answer in interval form.

ok so i factor out the denominator (x-3)=0 (x-1)=0 - Nov 11th 2009, 10:16 PMredsoxfan325
- Nov 11th 2009, 10:24 PMrefresh
- Nov 11th 2009, 10:26 PMredsoxfan325
- Nov 11th 2009, 10:30 PMrefresh
- Nov 11th 2009, 10:31 PMredsoxfan325
What does the book say?

Edit 1: Just noticed that you said . In this case you need to find the places where .

On , and , so .

On , and , so .

On , and , so . (Note that this interval includes the two points where the denominator is zero.)

On , and , so .

So the domain is .

Edit 2: It's definitely not all real numbers. Either the book is wrong or you're reading the answer to the wrong problem. - Nov 11th 2009, 10:36 PMrefresh
- Nov 11th 2009, 11:34 PMrefresh
- Nov 11th 2009, 11:47 PMredsoxfan325
That makes it easier then. is still off limits, but now only the two points 1 and 3 (as opposed to the interval ) are problematic, so the answer is what the books says:

- Nov 12th 2009, 12:05 AMrefresh
- Nov 12th 2009, 09:35 AMredsoxfan325
You would be donating money to the website, not me.