SOLUTION: Someone help me with this question please? Interval notation of this equation. (Domain) f(x)=(x-2)/√(x^2-2x-3) I am really confusing with this problem. I don't know ma

Algebra ->  Inequalities -> SOLUTION: Someone help me with this question please? Interval notation of this equation. (Domain) f(x)=(x-2)/√(x^2-2x-3) I am really confusing with this problem. I don't know ma      Log On


   

Question 779020: Someone help me with this question please?
Interval notation of this equation. (Domain)
f(x)=(x-2)/√(x^2-2x-3)
I am really confusing with this problem. I don't know may be it is wrong problem
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
The denominator must be positive.
x%5E2-2x-3%3E0 and the left side expression is factorable:
%28x-3%29%28x%2B1%29%3E0

Critical points to check around are at -1 and 3.
At x%3C-1, %28neg%29%28neg%29=%28pos%29%3E0 TRUE.
At -1%3Cx%3C3, %28neg%29%28pos%29=%28neg%29%3E0 FALSE
At 3%3Cx, %28pos%29%28pos%29=%28pos%29%3E0 TRUE

Set of possible values for x is { Real x | x%3C-1 OR x%3E3 }