Question

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

Answer 1

All `x` such that `x!=13`

Explanation:

...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.

GOOD LUCK!