Learn All Concepts of Chapter 2 Class 11 Relations and Function - FREE. Check - Relation and Function Class 11 - All Concepts
Example 17 - Chapter 2 Class 11 Relations and Functions
Last updated at Jan. 28, 2020 by Teachoo
Transcript
Example 17 Let f(x) = โ๐ฅ and g(x) = x be two functions defined over the set of nonnegative real numbers. Find (f + g) (x), (f โ g) (x), (fg) (x) and (๐/๐) (x) (f + g) (x) = f(x) + g(x) = โ๐ฑ + x, (f โ g) (x) = f(x) โ g(x) = โ๐ฑ โ x (fg) x = f(x) ร g(x) = โx ร x = ๐ฅ^(1/2) ร x1 = ๐ฅ^(1/2+1) = ๐ฅ^((1+2)/2) = ๐^(๐/๐) (f/g) (x) = (f(x))/(g(x)) where, g (x) โ 0, x โ R = โ๐ฅ/(x ) = โ๐ฅ/(โ๐ฅ รโ๐ฅ) = 1/โ๐ฅ Where , โ๐ฅ โ 0 โ x โ 0 โด (๐/๐ ) (x) = ๐/โ๐ where x โ 0
Examples
Example 1
Example 2
Example 3
Example 4 Important
Example 5
Example 6
Example 7
Example 8 Important
Example 9
Example 10 Important
Example 11
Example 12
Example 13
Example 14 Important
Example 15 Important
Example 16
Example 17 Important You are here
Example 18
Example 19 Important
Example 20 Important
Example 21 Important
Example 22 Important
Chapter 2 Class 11 Relations and Functions
Serial order wise
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.