Homework Help Forum: Algebra

Question

Posted by Jena on Thursday, February 3, 2011 at 7:32pm.


Find the domain of the function.
f(x)=(sqrt x+6)/(-2x-5)

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

Answer 1

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

Answer 2

I get
(-inf,-5/2)U[-6,infin) but it doesn't look right

Answer 3

Is this a question?