SOLUTION: Please confirm or help with the implied domain question below.Thanks f(x)=\frac{\sqrt{x+5}}{x-5} My answer is domain x > or equal to +5 0 = x-5 +5 = +5 < or equal to +5

Algebra ->  Rational-functions -> SOLUTION: Please confirm or help with the implied domain question below.Thanks f(x)=\frac{\sqrt{x+5}}{x-5} My answer is domain x > or equal to +5 0 = x-5 +5 = +5 < or equal to +5      Log On


   

Question 740154: Please confirm or help with the implied domain question below.Thanks
f(x)=\frac{\sqrt{x+5}}{x-5}
My answer is domain x > or equal to +5
0 = x-5
+5 = +5
< or equal to +5
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
if you mean this:
f%28x%29=sqrt%28%28x%2B5%29%2F%28x-5%29%29...domain will be all real numbers from x-5=0(denominator) to infinity, and all real numbers from x%2B5=0 (numerator) to -infinity
if %28x-5%29=0 => x=5
and
if %28x%2B5%29=0 => x=-5

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+sqrt%28%28x%2B5%29%2F%28x-5%29%29%29+
so,

Use the brackets [ ] if the value is part of the graph.
(-infinity,-5] U (5,infinity)