Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

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

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

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

#### Solution

(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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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 3 Functions
Exercise 3.3 | Q 1.1 | Page 18