How do you find the domain of h(x)= 1/(x+1)?

1 Answer
Apr 22, 2018

All real numbers excluding x=-1; (-oo, -1) U (-1,oo)

Explanation:

The domain includes all values of x for which h(x) exists.

For rational functions (such as this one), the domain doesn't exist for values of x which cause division by 0. So, let's determine which values of x cause the denominator to equal 0:

x+1=0

x=-1.

Then, the domain is all values of x excluding x=-1. In interval notation,

(-oo, -1) U (-1,oo)