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)

Algebra ->  Functions -> 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)      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
The square root function is defined only when the argument is non-negative.
x-5%3E=0
x%3E=5
The rational function is defined everywhere except when the denominator equals zero.
x%2B5=0
x=-5
So the domain is all real numbers except x=-5 and between x=0 and x=5.
So that would be,
(-infinity,-5)U(-5,0)U[5,infinity)