Example 17 - Chapter 2 Class 11 Relations and Functions
Last updated at December 13, 2024 by Teachoo
Examples
Example 1
You are here
You are here
Chapter 2 Class 11 Relations and Functions
Serial order wise
- Ex 2.1
- Ex 2.2
- Ex 2.3
-
Examples
- Miscellaneous
Transcript
Example 17 Let f(x) = āš„ and g(x) = x be two functions defined over the set of nonnegative real numbers. Find (f + g) (x), (f ā g) (x), (fg) (x) and (š/š) (x) (f + g) (x) = f(x) + g(x) = āš± + x, (f ā g) (x) = f(x) ā g(x) = āš± ā x (fg) x = f(x) Ć g(x) = āx Ć x = š„^(1/2) Ć x1 = š„^(1/2+1) = š„^((1+2)/2) = š^(š/š) (f/g) (x) = (f(x))/(g(x)) where, g (x) ā 0, x ā R = āš„/(x ) = āš„/(āš„ Ćāš„) = 1/āš„ Where , āš„ ā 0 ā x ā 0 ā“ (š/š ) (x) = š/āš where x ā 0
