SOLUTION: Find the domain of f(x)= { sqrt (x-5) if x>3 { 1/(x+5) if x<0 The answer is supposed to be (-infinity, -5) U (-5,0) U [5,infinity)

Question 984305: Find the domain of f(x)= { sqrt (x-5) if x>3
{ 1/(x+5) if x<0
The answer is supposed to be (-infinity, -5) U (-5,0) U [5,infinity)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The square root function is defined only when the argument is non-negative.

The rational function is defined everywhere except when the denominator equals zero.

So the domain is all real numbers except and between and .
So that would be,
(,)U(,)U[,)

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