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Example 17 - Chapter 2 Class 11 Relations and Functions (Term 1)
Last updated at March 16, 2023 by Teachoo
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Example 11 (i)
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Chapter 2 Class 11 Relations and Functions
Serial order wise
- Ex 2.1
- Ex 2.2
- Ex 2.3
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- Miscellaneous
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
