SOLUTION: I need help in finding the domain of {{{(x-1)/(sqrt(x^2+5x-14))}}}. This is what I have: 1){{{x^2+5x-14=0}}} (x+7)(x-2)=0 x+7=0 OR x-2=0 x=-7 OR x=2 ({{{-infinity}

Question 519725: I need help in finding the domain of .
This is what I have:
1)
(x+7)(x-2)=0
x+7=0 OR x-2=0
x=-7 OR x=2
(,-7),(-7,2),(2,)
Test: -8 0 3
sign: + - +
(,-7)(2,)
2)

OR
OR

Domain= (,-7)(-7,2)(2,)
{x|x is a real number, x is not -7, x is not 2, ,}
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

The domain is  

{x | x is a real number, x < -7 or x > 2) 

in set builder notation. or

(-∞, -7) U (2, ∞)

in interval notation.

Note:
You don't need to put "x is not -7".
Be sure to use only "<" and ">" 
Be sure NOT to use either "≦" or "≧".  
Also (-7,2) is NOT included in the domain.

Edwin

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