SOLUTION: State the domain in interval notation g(x)=x+7/x^2-25 I know x cannot equal +-5, after that im lost please shpw me how to get the answer. Thanks

Algebra ->  Functions -> SOLUTION: State the domain in interval notation g(x)=x+7/x^2-25 I know x cannot equal +-5, after that im lost please shpw me how to get the answer. Thanks      Log On


   

Question 701913: State the domain in interval notation
g(x)=x+7/x^2-25
I know x cannot equal +-5, after that im lost please shpw me how to get the answer.
Thanks
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Did you really mean, g%28x%29=%28x%2B7%29%2F%28x%5E2-25%29.

Using that, then, what can x be? x^2-25 as the denominator must not be zero. It can take all other real values but never zero. For which x will the denominator be zero?

Skipping the steps, x must not be allowed to be +5 or -5.
x%3C%3E-5 and x%3C%3E%2B5

The solution for what is the domain is
%28-infinity%2C+-5%29U%28-5%2C+%2B5%29U%28%2B5%2C+%2Binfinity%29
The site system counted that line as an error but hopefully you can still read and understand the solution within it. I'm still learning some of the system's typesetting.