Answer:
x≠-3 or x<-3 and -3<x or (∞,-3) and (-3,∞)
Step-by-step explanation:
If the expression you have given is [tex]\frac{x-1}{x+3}[/tex] then the domain is x≠-3
This is because in a function that is a fraction the denominator can never equal 0, otherwise you are dividing by 0 which is undefined.
Here the denominator is x+3 and so to find the undefined value of x:
Set x+3 equal to 0:
x+3=0
Subtract 3:
⇒ x=-3
That value is undefined since it results in the division of 0 which also means that it is not in the domain.
