Question

Find the domain of the real valued function of real variable: 

(i)  \[f\left( x \right) = \frac{1}{x}\]

 

Answer 1

(i) Given:

\[f\left( x \right) = \frac{1}{x}\] 

Domain of f :
We observe that f (x) is defined for all x except at x = 0.
At x = 0, f (x) takes the intermediate form \[\frac{1}{0} .\]

Hence, domain ( f ) = R -{ 0 } .