Whats the domain of 6/x+5

Question

i need to kniw the domain of that function

Answer 1

The restriction on the domain is that the denominator cannot be equal to 0.  

 

If the function is 6/(x+5) then (x + 5) cannot equal 0  ==>  x ≠ -5  

In interval notation this is (-∞,-5)∪(-5,∞)  

 

If the function is (6/x) + 5 then x cannot equal 0  

In interval notation this is (-∞,0)∪(0,∞)