Example 17 - Chapter 2 Class 11 Relations and Functions
Last updated at Dec. 13, 2024 by Teachoo
Last updated at Dec. 13, 2024 by Teachoo
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
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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo