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Find the Domain of the Real Valued Function of Real Variable: (Iii) F ( X ) = 3 X − 2 X + 1 - Mathematics

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प्रश्न

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

(iii) \[f\left( x \right) = \frac{3x - 2}{x + 1}\]

 

उत्तर

(iii) Given:

\[f\left( x \right) = \frac{3x - 2}{\left( x + 1 \right)}\]
Domain of f :
Clearly,  (x) is not defined for all (x + 1)  = 0, i.e. x = - 1.
At x = -1,  f (x) takes the intermediate form \[\frac{1}{0} .\]
Hence, domain ( f ) = R - { - 1 }.

 

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पाठ 3: Functions - Exercise 3.3 [पृष्ठ १८]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 3 Functions
Exercise 3.3 | Q 1.3 | पृष्ठ १८

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