Algebrastill need some help
posted by Jena .
Homework Help Forum: Algebra
Posted by Jena on Thursday, February 3, 2011 at 7:32pm.
Find the domain of the function.
f(x)=(sqrt x+6)/(2x5)
Write your answer as an interval or union of intervals.
Algebra  David, Thursday, February 3, 2011 at 7:42pm
(6,5/2)and(5/2,infinity)
Algebra  Reiny, Thursday, February 3, 2011 at 7:46pm
the simplest way to describe the domain:
x ? 6 , x ? 5/2
Algebra  Jena, Thursday, February 3, 2011 at 7:52pm
I'm lost

For the domain, the denominator can't equal zero.
2x  5 = 0
2x = 5
x = 5/2
So, x cannot equal 5/2
All x not equal to 5/2
For the numerator, you cannot have a negative inside the square root.
x + 6 >= 0
x >= 6
All x >= 6 
I get
(inf,5/2)U[6,infin) but it doesn't look right 
Is this a question?