Question

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

Answer 1

`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(x) = 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}