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Find the Domain of the Real Valued Function of Real Variable: (I) F ( X ) = 1 X - Mathematics

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प्रश्न

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

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

 

उत्तर

(i) Given:

\[f\left( x \right) = \frac{1}{x}\] 
Domain of f :
We observe that (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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अध्याय 3: Functions - Exercise 3.3 [पृष्ठ १८]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 3 Functions
Exercise 3.3 | Q 1.1 | पृष्ठ १८

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