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

1 Answer
Nov 4, 2015

Answer:

#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}