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Question
Find the domain of the real valued function of real variable:
(ii) \[f\left( x \right) = \frac{1}{x - 7}\]
Solution
(ii) Given:
Domain of f :
Clearly, f (x) is not defined for all (x -7) = 0 i.e.x = 7.
At x = 7, f (x) takes the intermediate form \[\frac{1}{0} .\]
Hence, domain ( f ) = R - { 7 }.
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