# How to find the domain of a function in interval notation?

U/u^2+4

 ebaines Posts: 10,053, Reputation: 5539 Expert #2 Aug 6, 2010, 07:34 AM
What you wrote is this:

$
\frac you {u^2} +4
$

But I wonder if what you meant is this:

$
\frac you {u^2+4}
$

The domain is the allowable range of values for the independent variable, in this case u. So - as you consider this function, are there any values of u that would not be allowed? One thing to keep in mind with this type of problem is that you never want to divide by zero, so check to see if there are any values of u that cause the denominator to be zero.

Post back with what you get for an answer.

## Check out some similar questions!

y=x+2 ------ x2-1

Interval Notation [ 6 Answers ]

How to use interval notation to find the domain? 1.f(x) = 1 ___________ (x+2) (x+1)

Interval Notation [ 1 Answers ]

I completed the problem the same way I did the other one. I think I followed the right steps. |2x-2|>4 -4>2x-2>4 add 2 to both sides -2>2x>6 Divide all numbers by 2 -1>x>3 is my answer

Interval Notation [ 5 Answers ]

|5x-1|<11 Above is the problem. This is my answer. 5x+1<11 5x+1-1<11-1 5x<10 X<10