Find the domain for the rational function f(x)=x-1/x+3

x≠-3 or x<-3 and -3<x or (∞,-3) and (-3,∞)

Step-by-step explanation:

If the expression you have given is 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.