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प्रश्न
Find the domain of the real valued function of real variable:
(i) \[f\left( x \right) = \frac{1}{x}\]
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उत्तर
(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 \[\frac{1}{0} .\]
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 } .
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