![Example 21 - Chapter 2 Class 11 Relations and Functions - Part 2](https://d1avenlh0i1xmr.cloudfront.net/3cf67724-45b4-4400-ae80-4057333c4ae8/slide54.jpg)
Examples
Examples
Last updated at April 16, 2024 by Teachoo
Example 21 Find the domain of the function "f" (x) = (" " 2 + 3 + 5)/( 2 5 + 4) "f" (x) = (" " x2 + 3x + 5)/(x2 5x + 4) = (x2 + 3x + 5)/(x2 4x + 4) = (x2 + 3x +5)/( (x 4) 1( 4)) = (x2 + 3x + 5)/(( 4)(x 1) ) In real numbers , the denominator cannot be zero Hence (x 4) (x 1) 0 x 4 and x 1 Hence the domain of the function will be all real numbers except 1 and 4 Hence, the domain = R {1, 4}.