The function f(x)= 1/x is well defined for all values of x, except at x=0.

 

At x=0, f(x) is not defined.

 

Hence its domain is  R –{0}  where R stands for all Real values of x.

 

This  can also be written in Set notation form  as (-∞, 0) U (0, +∞)

 

 

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