How do you find the domain of 1/(x+6)?

1 Answer
Daniel L.
Jul 13, 2016

The domain is: D=RR-{-6} or D=(-oo;-6)uu(-6;+oo)

Explanation:

To find the domain of a function you have to think about all values of x for which the function's formula makes sense. In the example above only limitation is that 0 cannot be the value of the denominator, so to find out which point is excluded from the domain you have to solve the equation x+6=0

This equation has one solution x=-6, so the domain of the function is the set of all real numbers except number -6. We can write it in two ways:

D=RR-{-6}

or as the sum of 2 intervals:

D=(-oo;-6)uu(-6;+oo)

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