How do you find the domain of #f( x ) = \frac { 8} { x - 13}#?

1 Answer
Sep 10, 2017

All #x# such that #x!=13#


...the domain of a function is the set of values that x can have, such that the function is defined.

This function is NOT defined at #x=13#, because that would result in a division by zero, which is not allowed.

You can plug any other value of x into the function and calculate an output value.

So, in general, if you are asked about the domain of any function, the first thing to determine is if there is a division operation. If there is, ask yourself if there are any values of x that would cause division by zero. Those points are excluded from the domain.