SOLUTION: what is the domain function of g(x)= 1/ (x+5) (x-1) thank you..

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Question 683953: what is the domain function of
g(x)= 1/ (x+5) (x-1)
thank you..
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
g(x)= 1%2F%28%28x%2B5%29+%28x-1%29%29

We just have to leave out the values on the x-axis 
where there are vertical asymptotes:

That is where the denominator = 0

(x + 5)(x - 1) = 0
x+5 = 0  x - 1 = 0
  x = -5     x = 1

The graph is below. Notice that the function does not use 
the values of x where there are vertical asymptotes (where 
the green lines, the asymptotes cross the x-axis


  
<=========o=================o===========>
-8 -7 -6 -5 -4 -3 -2 -1  0  1  2  3  4
Notice this number line representing the domain.
Compare it to the x-axis above. It is just like it!
Its interval notation is

        %28matrix%281%2C3%2C-infinity%2C%22%2C%22%2C-5%29%29U%28matrix%281%2C3%2C-5%2C%22%2C%22%2C1%29%29U%28matrix%281%2C3%2C1%2C%22%2C%22%2Cinfinity%29%29+

That's the domain.
Edwin