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

1 Answer
Anuj Baskota
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(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}

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