domain question

May 2010
22
0
I have the problem
Give the domain in interval notation for the function:
\(\displaystyle f(x)=(x+1)/(sqrt(x-2))\)

I think it's (3,inf) because it would have to be 3 or more to be real.
But Mathway says (-inf,3) U (3,inf). If x was 2 it would be imaginary, so what's the deal with Mathway?

Thanks.
 

skeeter

MHF Helper
Jun 2008
16,217
6,765
North Texas
I have the problem
Give the domain in interval notation for the function:
\(\displaystyle f(x)=(x+1)/(sqrt(x-2))\)

I think it's (3,inf) because it would have to be 3 or more to be real.
But Mathway says (-inf,3) U (3,inf). If x was 2 it would be imaginary, so what's the deal with Mathway?

Thanks.
sure you posted f(x) correctly? ... for the function posted

x-2 > 0

x > 2 ... domain.

what's a "Mathway" ?
 
May 2010
22
0
Ok

Yes, that was the problem. I see, it is x>2. Is that really in interval notation? I was trying to give it the form: (z,t)

Mathway is a math help website that solves problems using software built in to the web page. I don't know if I trust it yet.
 

skeeter

MHF Helper
Jun 2008
16,217
6,765
North Texas
\(\displaystyle x > 2\) and \(\displaystyle (2,\infty)\) mean the same thing.