# How do you find the domain of f(x)=1/(x-3)?

Nov 4, 2015

$x$= R -{3}

#### Explanation:

Domain of a function means selecting the values which makes the domain defined.
In this case,
If the denominator is zero then the function is not defined,
So for what value of $x$ will the denominator be 0 ?

3 right ?

when $x$ = 3 ,

$f \left(x\right) = \frac{1}{0}$ which is not defined.

If you keep any other values except 3, your function is valid.

So, the domain is all values of the real line except 3.

$x$= R -{3}